Permutations and Combinations-Quiz-7

Permutations and Combinations Quiz-7

Dear Readers,

Permutations and Combinations is one of the most important chapters of Algebra in the JEE syllabus and other engineering exams. For JEE Mains, it has 4% weightage and for JEE Advanced, it has 5% weightage..

Q1. There were two women participating in a chess tournament. Every participant played two games with the other participates. The number of games that the men played among themselves proved to exceed by 66 number of games that the men played with women. The number of participants is

•  6
•  11
•  13
•  None of these

Solution

Q2.A teacher takes three children from her class to the zoo at a time, but she does not take the same three children to the zoo more than once. She finds that she went to the zoo 84 times more than a particular child has gone to the zoo. The number of children in her class is

•  12
•  10
•  60
•  None of these

Solution

Q3.  Number of ways in which a lawn-tennis mixed double be made from seven married couples if no husband and wife play in the same set is

•  240
•  420
•  720
•  None of these

Solution

Q4. In how many ways can a team of 11 players be formed out of 25 players, if six out of them are always to be included and five always to be excluded

•  2020
•  2002
•  2008
•  8002

Solution

Q5.If ⁿC_r-1 = 36, ⁿC_r = 84 and ⁿC_r+1 = 126, then r is

•  1
•  2
•  3
•  None of these

Solution

Q6. Number of ways in which Rs. 18 can be distributed amongst four persons such that nobody receives less than Rs. 3 is

•  4²
•  2⁴
•  4!
•  None of these

Solution

Q7.A person buys eight packets of TIDE detergent. Each packet contains one coupon, which bears one of the letters of the word TIDE. If he shows all the letters of the word TIDE, he gets one free packet. If he gets exactly one free packet, then the number of different possible combinations of the coupons is

•  ⁷C₃
•  ⁸C₄
•  ⁸C₃
•  4⁴

Solution

Q8.A five-digit number of divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total number of ways this can be done is

•  216
•  240
•  600
•  3135

Solution

Q9.The total number of six-digit natural numbers that can be made with digits 1,2,3,4, if all digits are to appear in the same number at least once is

•  1560
•  840
•  1080
•  480

Solution

Q10.The number less than 1000 that can be formed using the digits 0,1,2,3,4,5, when repetition is not allowed is equal to

•  130
•  131
•  156
• 155

Solution

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