JEE Questions for Maths Permutations And Combinations Quiz 7 - MCQExams.com


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  • 14
  • 11
  • 9
  • 5

Maths-Permutations and Combinations-43796.png

  • Maths-Permutations and Combinations-43797.png
  • 2)
    Maths-Permutations and Combinations-43798.png

  • Maths-Permutations and Combinations-43799.png

  • Maths-Permutations and Combinations-43800.png
The no. of ways in which the letter of the word ARRANGE can be arranged such that both R do not come together is _______
  • 1620
  • 360
  • 900
  • 1260
A committee of 12 persons is to be formed from 9 women and 8 men in which at least 5 woman have to be included in a committee.Then the no.of committee in which the women are in majority and men are in majority are respectively
  • 4784,1008
  • 2702,3360
  • 6062,2702
  • 2702,1008

Maths-Permutations and Combinations-43804.png

  • Maths-Permutations and Combinations-43805.png
  • 2)
    Maths-Permutations and Combinations-43806.png

  • Maths-Permutations and Combinations-43807.png

  • Maths-Permutations and Combinations-43808.png
12 Persons are to be arranged to a round table, If two particular persons among them are not to be side by side, the total no,of arrangments is : _______
  • 9(10!)
  • 2(10)!
  • 45(8!)
  • 10 !
Nandan gives dinner party to six guests.the no of ways in which they may be selected from ten friends if two of the friends will not attend the party together is: _______
  • 112
  • 140
  • 164
  • 146
The no, of straight lines that can be drawn out of 10 points of which 7 are collinear is _______
  • 22
  • 23
  • 24
  • 25
The no of ways of arranging the letters AAAAABBBCCCDEEF in a row when no two c’s are together is: _______

  • Maths-Permutations and Combinations-43813.png
  • 2)
    Maths-Permutations and Combinations-43814.png

  • Maths-Permutations and Combinations-43815.png

  • Maths-Permutations and Combinations-43816.png
The no of ways in which 10 persons can go in two cars so that there may be 5 in each car, supposing that two particular persons will not go in the same car is:

  • Maths-Permutations and Combinations-43818.png
  • 2)
    Maths-Permutations and Combinations-43819.png

  • Maths-Permutations and Combinations-43820.png

  • Maths-Permutations and Combinations-43821.png
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty are: _______

  • Maths-Permutations and Combinations-43823.png
  • 21
  • 5

  • Maths-Permutations and Combinations-43824.png
There are 10 points in a plane out of these 6 are collinear. If N is the number of triangles formed by joining these points then:

  • Maths-Permutations and Combinations-43826.png
  • 2)
    Maths-Permutations and Combinations-43827.png

  • Maths-Permutations and Combinations-43828.png

  • Maths-Permutations and Combinations-43829.png

Maths-Permutations and Combinations-43831.png

  • Maths-Permutations and Combinations-43832.png
  • 2)
    Maths-Permutations and Combinations-43833.png

  • Maths-Permutations and Combinations-43834.png
  • None of these
There are 3 copies each of 4 different books.The number of ways they can be arranged in a shelf is _______
  • 369600
  • 400400
  • 420600
  • 440720
The number of ways in which 5 identical balls can be kept in 10 identical boxes. If not more than one can go in to a box is _______

  • Maths-Permutations and Combinations-43837.png
  • 2)
    Maths-Permutations and Combinations-43838.png
  • 5
  • 1
The vertices of a regular polygon of 12 sides are joined to form triangles.The no. of triangles which do not have their sides as the sides of the polygon is _______
  • 96
  • 108
  • 112
  • 220
12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls.The no.of ways this can be done is m.12! where m =________

  • Maths-Permutations and Combinations-43840.png
  • 20

  • Maths-Permutations and Combinations-43841.png

  • Maths-Permutations and Combinations-43842.png
The first 12 letters of the english alphabet are to be written at random so that there are exactly 4 letters between A and B. the number of ways this can be done is _______?
  • 7.10!
  • 2.10!
  • 21.10!
  • 14.10!
How many different words canbe formed by the letters of the word MISSISSIPPI in which no two S are adjacent ?

  • Maths-Permutations and Combinations-43845.png
  • 2)
    Maths-Permutations and Combinations-43846.png

  • Maths-Permutations and Combinations-43847.png

  • Maths-Permutations and Combinations-43848.png
From 6 different novels and 3 different dictionaries 4 novels and, 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle.Then the no, of such arrangements is _______
  • Less then 500
  • At least 750 but less then 1000
  • At least 500 but less then 750
  • At least 1000
At an election 3 wards of a town are convassed by 4,5 and 8 men respectively. If there are 20 volunteers then the no. of ways they can be alloted to different wards is ?

  • Maths-Permutations and Combinations-43851.png
  • 2)
    Maths-Permutations and Combinations-43852.png

  • Maths-Permutations and Combinations-43853.png

  • Maths-Permutations and Combinations-43854.png

Maths-Permutations and Combinations-43856.png

  • Maths-Permutations and Combinations-43857.png
  • 2)
    Maths-Permutations and Combinations-43858.png

  • Maths-Permutations and Combinations-43859.png

  • Maths-Permutations and Combinations-43860.png
A round table conference is to be held among 20 delegates of 20 countries.The no, of ways they can be seated if two particular delegates are never sit together is.

  • Maths-Permutations and Combinations-43862.png
  • 2)
    Maths-Permutations and Combinations-43863.png

  • Maths-Permutations and Combinations-43864.png

  • Maths-Permutations and Combinations-43865.png
Ten different letters of an alphabet are given Words with 5 letters are formed from the given letters. The no, of words which have atleast one letter repeated is _______
  • 69750
  • 30240
  • 9948
  • 10680
8 chairs are numbered 1 to 8 Two women and 3 men wish to occupy one chair each first the women choose the chairs marked, 1 to 4 then the men select from among the remaining chairs. The no, of seating arrangments is
  • 1250
  • 1360
  • 1440
  • 1560
There are 4 balls of different colours and 4 boxes of colours same as those of the balls. The no, of ways in which the balls, one in each box could be placed such that a ball does not go to a box of its own colour is _______
  • 5
  • 6
  • 9
  • 12

Maths-Permutations and Combinations-43870.png
  • 4
  • 5
  • 6
  • 7
The no of 9 digit numbers formed using the digit 223355888 such that odd digits occupy even places is _______
  • 16
  • 36
  • 60
  • 80

Maths-Permutations and Combinations-43873.png
  • {1,2,3}
  • {1,2,3,4}
  • {1.2,3,4,5}
  • {1,2,3,4,5,6}
Five digit numbers divisible by 3 are formed using the digits 0,1,2,3,4,5,6,7 without repetition. The no, of such numbers are _______
  • 936
  • 480
  • 600
  • 216
A student is to answer out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The no, of choice available to him is _______
  • 140
  • 196
  • 180
  • 346
The number of ways of distributing 8 identical balls in 3 distinct boxes so that no box is empty is _______
  • 5
  • 2)
    Maths-Permutations and Combinations-43877.png
  • 38
  • 21

Maths-Permutations and Combinations-43879.png
  • 2500
  • 2499
  • 1729
  • 1440
The greatest integer n such that (42)n divides 2007! is _______
  • 329
  • 330
  • 331
  • 332
If the letters of the word SACHIN are arranged in all possible ways and these words are written in dictionary order then the word SACHIN appers at serial number _______
  • 600
  • 601
  • 602
  • 603
The product of n natural number n ≥ 2 is _______
  • not divisible by n
  • divisible by n, but not by 2n
  • divisible by 2n, but not by n!
  • divisible by n!
Nine hundred distinct n digit numbers are to be formed using only the 3 digits 2,5,7. The smallest value of n for which this is possible is _______
  • 6
  • 7
  • 8
  • 9
Let A be a set with n elements. The number of onto functions from A to A is _______

  • Maths-Permutations and Combinations-43885.png
  • 2)
    Maths-Permutations and Combinations-43886.png

  • Maths-Permutations and Combinations-43887.png

  • Maths-Permutations and Combinations-43888.png
The number of number that can be formed using all the digits from 1,2,3,4,3,2,1 so that odd digits occupy odd places is _______
  • 12
  • 18
  • 24
  • 36
10 person are to be arranged around a round table. 3 persons wish to sit as a group number oways the arrangement can be made is _______

  • Maths-Permutations and Combinations-43891.png
  • 2)
    Maths-Permutations and Combinations-43892.png

  • Maths-Permutations and Combinations-43893.png

  • Maths-Permutations and Combinations-43894.png
How many number greater than 10 lac be formed from 2,3,0,3,4,2,3 _______
  • 420
  • 360
  • 400
  • 300
The average of the four digits numbers that can be formed by using each of the digits 3,5,7,and 9 exactly once in each number is _______
  • 4444
  • 5555
  • 6666
  • 7777
In an examination a question paper consists of 10 questions which is divided into two parts. i.e part i and part ii containing 5 and 7 questions respectively. A student is required to attempt 8 question in all selecting at least 3 from each part. In how many ways can a student select the questions _______

  • Maths-Permutations and Combinations-43898.png
  • 2)
    Maths-Permutations and Combinations-43899.png

  • Maths-Permutations and Combinations-43900.png

  • Maths-Permutations and Combinations-43901.png
A library has a copies of one book, b copies of two books, C copies of each of three books and single copy of d books. The total no. of ways in which these books can be distributed is _______

  • Maths-Permutations and Combinations-43903.png
  • 2)
    Maths-Permutations and Combinations-43904.png

  • Maths-Permutations and Combinations-43905.png

  • Maths-Permutations and Combinations-43906.png
Three boys and three girls are to be seated around a round table in a circle. Among them the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour then the no. of arrangement is _______
  • 2
  • 4

  • Maths-Permutations and Combinations-43908.png

  • Maths-Permutations and Combinations-43909.png
4 boys picked up 30 mangoes. In how many ways can they divide them, if all mangoes be identical _______

  • Maths-Permutations and Combinations-43911.png
  • 2)
    Maths-Permutations and Combinations-43912.png
  • 5456
  • 6554
The number of ways of dividing 15 men and 15 women into 15 couples each consisting of a man and a woman is _______
  • 1240
  • 1840
  • 1820
  • 2005
The number of times the digits 3 will be written when listing the integers from 1 to 1000 is _______
  • 269
  • 300
  • 271
  • 302
The number of ways of distributing 52 cards among four players so that three players have 17 cards each and the fourth player has just one card is _______

  • Maths-Permutations and Combinations-43916.png
  • 2)
    Maths-Permutations and Combinations-43917.png

  • Maths-Permutations and Combinations-43918.png

  • Maths-Permutations and Combinations-43919.png
In a circus there are 10 cages for accomodating 10 animals out of these 4 cages are so small that five out of ten animals can not enter into them.In how many ways will it be possible to accomodate 10 animals in these 10 cages?
  • 66400
  • 86400
  • 96400
  • 46900
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