JEE Questions for Maths Permutations And Combinations Quiz 1 - MCQExams.com

How many different signals can be made by 5 flags from 8 flags of different colours
  • 10
  • 6720
  • 20
  • None of these

Maths-Permutations and Combinations-43412.png
  • 1
  • 2
  • 3
  • None of these.
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated are
  • 69760
  • 30240
  • 99748
  • none of these

Maths-Permutations and Combinations-43415.png

  • Maths-Permutations and Combinations-43416.png
  • 2)
    Maths-Permutations and Combinations-43417.png

  • Maths-Permutations and Combinations-43418.png
  • none of these
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 ; and then the men select the chairs from amongst the remaining. The number of possible arrangements is

  • Maths-Permutations and Combinations-43420.png
  • 2)
    Maths-Permutations and Combinations-43421.png

  • Maths-Permutations and Combinations-43422.png
  • none of these
A five-digit numbers divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways this can be done is
  • 216
  • 240
  • 600
  • 3125
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ?
  • 16
  • 36
  • 60
  • 180

Maths-Permutations and Combinations-43425.png
  • 5
  • 7
  • 6
  • 4
If 56pr+6 : 54pr+3 = 30800 : 1, then the value of r is
  • 40
  • 51
  • 41
  • 510
  • 101
The number of permutations by taking all letters and keeping the vowels of the word 'COMBINE' in the odd places is
  • 96
  • 144
  • 512
  • 576
If Pm stands for mPm, then 1 + 1P1 + 2P2 + 3P3 + ...+ n.Pn is equal to
  • n!
  • (n + 3)!
  • (n + 2)!
  • (n + 1)!
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chair marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is
  • 6C3 × 4C2
  • 4P2 × 6P3
  • 4C2 × 4P3
  • None of these
The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently is
  • 40
  • 60
  • 80
  • 100
A rectangle with sides of length (2m –and (2n –units is divided into squares of unit length by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is
Maths-Permutations and Combinations-43432.png
  • (m + n – 1)2
  • 4m+n–1
  • m2n2
  • m(m + 1)n(n + 1)
In how many different ways can the letters of the word MATHEMATICS be arranged ?
  • 11!
  • 11!/2!
  • 11!/(2!)2
  • 11!/(2!)3
'The ten's digit in 1!+ 4!!+ 7!+ 10!+ 12!+ 13!+ 15! + 16!+ 17! is divisible by
  • 4
  • 3!
  • 5
  • 7
The number of ways in which 5 ladies and 7 gentlemen can be seated in a round table so that no two ladies sit together, is
  • 7/2 (720)2
  • 7(360)2
  • 7(720)2
  • 720
  • 360

Maths-Permutations and Combinations-43494.png
  • n+m+1Cn+1
  • n+m+2Cn
  • n+m+3Cn-1
  • None of these
If the LCM of p, q is r2t4s2, where r, s, t are prime numbers and p, q are the positive integers then the number of ordered pair (p, q) is
  • 252
  • 254
  • 225
  • 224
The number of permutations of the letters of the word CONSEQUENCE in which all the three E\'s arc together, is
  • 9! 3!
  • 9!/2!2!
  • 9!/2!2!3!
  • 9!/2!3!
The number of natural numbers less than 1000, in which no two digits are repeated, is
  • 738
  • 792
  • 837
  • 720
How many numbers lying between 999 and 10000 can be formed with the help of the digits 0, 2, 3, 6, 7, 8 when the digits are not he repeated?
  • 100
  • 200
  • 300
  • 400
20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host ?
  • 20!
  • 2! × 18!
  • 18!
  • none of the above
How many ways are there to arrange the letters in the word `GARDEN' with the vowels in alphabetical order ?
  • 120
  • 240
  • 360
  • 480
The sum of all five-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 when repetition of digits is not allowed, is
  • 366000
  • 660000
  • 360000
  • 3999960
If all permutations of the letters of the word 'AGAIN' are arranged as in dictionary, then fiftieth word is
  • NAAGI
  • NAGAI
  • NAAIG
  • NAIAG
If r, s, t are prime numbers and p, q are the positive integers such that LCM of p, q is r2 S4 t 2, then the number of ordered pairs (p, q) is
  • 225
  • 224
  • 252
  • 254
How many numbers greater than 40000 can be formed from the digits 2, 4, 5, 5, 7 ?
  • 12
  • 24
  • 36
  • 48
How many numbers of 6 digits can be formed from the digits of the number 112233 ?
  • 30
  • 60
  • 90
  • 120
There are 10 true-false questions in an examination. Then, these questions can be answered in
  • 240 wsays
  • 20 ways
  • 1024 ways
  • 100 ways
A student is allowed to select atmost n books from a collection of (2n +books. If the number of ways in which he can do this, is 64, then the value of n is
  • 6
  • 4
  • 3
  • None of these
S = {1, 2, 3, ... , 20} is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done, is

  • Maths-Permutations and Combinations-43449.png
  • 2)
    Maths-Permutations and Combinations-43450.png

  • Maths-Permutations and Combinations-43451.png

  • Maths-Permutations and Combinations-43452.png
In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?
  • 34
  • 36
  • 35
  • 37
10 different toys are to be distributed among 10 children. Total number of ways of distributing these toys, so that exactly two children do not get any toy, is

  • Maths-Permutations and Combinations-43455.png
  • 2)
    Maths-Permutations and Combinations-43456.png

  • Maths-Permutations and Combinations-43457.png

  • Maths-Permutations and Combinations-43458.png
Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels, is
  • 24800
  • 25100
  • 25200
  • 25400

Maths-Permutations and Combinations-43461.png
  • nCr+1
  • n+1Cr+1
  • nCr
  • None of these

Maths-Permutations and Combinations-43463.png

  • Maths-Permutations and Combinations-43464.png
  • 2)
    Maths-Permutations and Combinations-43465.png

  • Maths-Permutations and Combinations-43466.png
  • None of these
If n is an integer with 0 ≤ n ≤ 11, then the minimum value of n! (11- n)! is attained when a value of n is
  • 11
  • 5
  • 7
  • 9
Find nC21, If nC10 = nC11
  • 1
  • 0
  • 11
  • 10
Determine n, If 2nC2 : nC2 : 9 : 2
  • 5
  • 4
  • 3
  • 2
A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is
  • 140
  • 196
  • 280
  • 346
The total number of ways in which 5 balls of different colors can be distributed among 3 persons so that each person gets atleast one ball, is
  • 75
  • 150
  • 210
  • 243
The number of subsets of {1, 2, 3, ... ,9} containing atleast one odd number, is
  • 324
  • 396
  • 496
  • 512
A binary sequence is an array of 0's and l's. The number of n -digit binary sequences which contain even number of 0's, is
  • 2n-1
  • 2n - 1
  • 2n-1 - 1
  • 2n
In a Mathematics paper, there are three sections containing 4, 5 and 6 questions respectively. From each section 3 questions are to be answered. In how many ways, can the selection of questions be made?
  • 34
  • 800
  • 1600
  • 9600
The number of four-letter words that can be formed (the words need not be meaningful) using the letters of the word 'MEDITERRANEAN letter is E and the last letter is R, is

  • Maths-Permutations and Combinations-43476.png
  • 59
  • 56

  • Maths-Permutations and Combinations-43477.png

  • Maths-Permutations and Combinations-43478.png
The number of permutations of 4 letters that can be made out of the letters of the word 'EXAMINATION' is
  • 2454
  • 2452
  • 2450
  • 1806
Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is
  • 9
  • 12
  • 10
  • 14
If m = nC2, then mC2 is equal to
  • 3nC4
  • n+1C4
  • 3. n+1C4
  • 3 . n+1C3
  • 3 .n+1C2
The number of times the digit 5 will be written when listing the integers from 1 to 1000, is
  • 271
  • 272
  • 300
  • None of these
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Maths Quiz Questions and Answers