JEE Questions for Maths Permutations And Combinations Quiz 5 - MCQExams.com


Maths-Permutations and Combinations-43630.png

  • Maths-Permutations and Combinations-43631.png
  • 2)
    Maths-Permutations and Combinations-43632.png

  • Maths-Permutations and Combinations-43633.png

  • Maths-Permutations and Combinations-43634.png

Maths-Permutations and Combinations-43635.png
  • 1
  • 2
  • 0
  • None of these
Everybody in a room shakes hand with everybody else. The total number of hand shakes is 66. The total number of persons in the room is
  • 11
  • 12
  • 13
  • 14

Maths-Permutations and Combinations-43638.png
  • {1,2,3}
  • {4,5,6}
  • {8,9,10}
  • {9,10,11}

Maths-Permutations and Combinations-43639.png
  • 34
  • 35
  • 36
  • 37
In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct, is
  • 11
  • 12
  • 27
  • 63

Maths-Permutations and Combinations-43642.png
  • n > 6
  • n > 7
  • n < 6
  • None of these

Maths-Permutations and Combinations-43644.png
  • 3
  • 4
  • 5
  • 6
The least value of natural number n satisfying C (n,+ C(n,> C(n + 1,is
  • 11
  • 10
  • 12
  • 13
A person is permitted to select at least one and at most n coins from a collection of (2n +distinct coins. If the total number of ways in which he can select coins is 255, then n equals
  • 4
  • 8
  • 16
  • 32
How many numbers of 6 digits can be formed from the digits of the number 112233
  • 30
  • 60
  • 90
  • 120
In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls

  • Maths-Permutations and Combinations-43649.png
  • 2)
    Maths-Permutations and Combinations-43650.png

  • Maths-Permutations and Combinations-43651.png
  • None of these
In an election the number of candidates is 1 greater than the persons to be elected. If a voter can vote in 254 ways, then the number of candidates is
  • 7
  • 10
  • 8
  • 6
In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together
  • 1540
  • 1450
  • 1504
  • 1405

Maths-Permutations and Combinations-43654.png

  • Maths-Permutations and Combinations-43655.png
  • 2)
    Maths-Permutations and Combinations-43656.png

  • Maths-Permutations and Combinations-43657.png

  • Maths-Permutations and Combinations-43658.png
In how many ways a team of 11 players can be formed out of 25 players, If 6 out of them are always to be included and 5 are always to be excluded
  • 2020
  • 2002
  • 2008
  • 8002
A student is allowed to select at most n books from a collection of (2n +books. If the total number of ways in which he can select one book is 63, then the value of n is
  • 2
  • 3
  • 4
  • None of these
Out of 6 books, in how many ways can a set of one or more books be chosen
  • 64
  • 63
  • 62
  • 65
In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included
  • 55
  • 72
  • 78
  • None of these
Six ‘+‘ and four ‘—‘ signs are to be placed in a straight line so that no two ‘—‘ signs come together, then the total number of ways are
  • 15
  • 18
  • 35
  • 42
In how many ways can 6 persons be selected from 4 officers and 8 constables, if at least one officer is to be
  • 224
  • 672
  • 896
  • None of these
In an election there are 5 candidates and three vacancies. A voter can vote maximum to three candidates, then in how many ways can he vote
  • 125
  • 60
  • 10
  • 25
Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys
  • 120
  • 90
  • 100
  • 80
The number of ways in which we can select three numbers from 1 to 3 so as to exclude every selection of all even numbers is
  • 4060
  • 3605
  • 455
  • None of these
A man has 10 friends. In how many ways he can invite one or more of them to a party
  • 10!
  • 210
  • 10! - 1
  • 210 - 1
The number of ways in which any four letters can be selected from the word \'CORGOO\' is
  • 15
  • 11
  • 7
  • None of these
The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty five paise coins is
  • 28
  • 56
  • 37C6
  • None of these
The number of ways in which thirty five apples can be distributed among 3 boys so that each have any number of apples, is
  • 1332
  • 666
  • 333
  • None of these
In how many ways can 12 balls divided between 2 boys, one receiving 5 and other 7 balls
  • 1080
  • 1184
  • 1584
  • None of these
The value of 8C3 is equal to
  • 18
  • 56
  • 28
  • 65
The number of positive integers which can be formed by using any number of digits from 0, 1, 2, 3, 4, 5 but using each digit not more than once in each number, is
  • 1200
  • 1500
  • 1600
  • 1630
The number of seven-digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
  • 55
  • 66
  • 77
  • 88
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is
  • 18720
  • 18270
  • 17280
  • 12780
How many 10-digit numbers can be written by using digits 9 and 2?
  • 10C1 +9C2
  • 210
  • 10C2
  • 10!
The letters of the word 'COCHIN' are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word 'COCHIN', is
  • 360
  • 192
  • 96
  • 48
Let A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets of A x B having 3 or more elements, is
  • 256
  • 220
  • 219
  • 211
If χ = {11, 2, 3, 4, 5}, then the number of different ordered pairs (Y, Z) that can formed such that Y ⊑ X, Z ⊑ χ and Y ∩ Z is empty, is
  • 52
  • 35
  • 25
  • 53
Statement I The number of ways distributing 10, identical balls in 4 distinct boxes such that no box is empty, is 9C3 .
Statement II The number of ways of choosing any 3 places from 9 different places, is9C3 .
  • Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
  • Statement I is correct, Statement II is incorrect
  • Statement I is incorrect, Statement II is correct
  • Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not take the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more that a particular child goes to the zoo. The number of children in her class is
  • 12
  • 10
  • 60
  • None of these
A student is allowed to select atmost n books from a collection of (2 n+ 1)books. If the total number of ways in which he can select atleast one book is 225, then the value of n is
  • 6
  • 5
  • 4
  • 3
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 number of such arrangements is
  • atleast 500 but less than 750
  • atleast 750 but less than 1000
  • atleast 1000
  • less than 500
In a shop, there are five types of ice-creams available. A child buys six ice-creams.
Statement I The number of different ways the child can buy the six ice-creams, is 10C5
Statement II The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row.
  • Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I
  • Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
  • Statement I is correct, Statement II is incorrect
  • Statement I is incorrect, Statement II is correct
The set S = 11, 2, 3, ... , 121 is to be partitioned into three sets A,B,C of equal size.
Thus, A ∪ B ∪ C= S
A ∩ B = B ∩ C = A ∩ C = ∅.
The number of ways to partition S is
  • 12!/3!(4!)3
  • 12!/3!(3!)3
  • 12!/(4!)3
  • 12!/(3!)3
Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done, if the group is to have a majority of boys ?
  • 120
  • 80
  • 90
  • 100
The number of rectangles that you can find on a chess board is
  • 144
  • 1296
  • 256
  • none of these
A letter lock consists of three rings marked with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, then
  • 482/N and N is product of three distinct prime numbers.
  • N is product of 4 distinct prime numbers.
  • N is product of 2 distinct prime numbers.
  • none of these
At an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 10 candidates and 5 members are to be chosen. The number of ways in which a voter may vote for at least one candidate is given by
  • 637
  • 638
  • 639
  • 640

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  • 14
  • 15
  • 12
  • 11

Maths-Permutations and Combinations-43684.png
  • (p +(m +(n +– 2
  • (p + m + n +(n +– 1
  • (p +(m +(n +– 1
  • none of these
The number of positive integers with the property that they can be expressed as the sum of the cubes of 2 positive integers in two different ways is
  • 10
  • 100
  • 40
  • ∞
0:0:1


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