There are 4 married couples in a club. A 3-member committee must be formed from among them, such that no married couple is part of the committee. The number of ways in which this committee can be formed is
Tap an option to check your answer.
DSE 2009 Question 1: Combinatorics and counting
Answer and worked solution
Checking your account…
Plain-text version
There are 4 married couples in a club. A 3-member committee must be formed from among them, such that no married couple is part of the committee. The number of ways in which this committee can be formed is (A) 16 (B) 44 (C) 32 (D) 56
Combinatorics and counting has come up 24 times in 5 exams since 2009.
What this question tests
This question is on Permutations and combinations, part of Combinatorics and counting in Mathematics.
Counting arrangements and selections, with and without restrictions.
TestStop has 12 past-paper questions on this subtopic.
Similar questions from other papers
- In how many ways can 10 economists attending a conference be accommodated in 2 triple sharing and 2 double sharing hotel rooms?
- There are 32 students, each taking at least one of English, Hindi, Mathematics. 16 take English, 8 Hindi, 18 Mathematics; 4 take English and Hindi, 5 take Hindi and…
- The number of terms in the expansion of the binomial distribution (a + b)⁴ is
- If A and B are two sets such that n(A)=20, n(B)=35 and n(A∪ B)=50, then n(A∩ B) is equal to
- Five persons namely, Bhaskar, Mary, Apala, Nemichand and Shahid are to be seated on five seats in a row such that Shahid and Bhaskar must sit next to each other and…
Question from the DSE 2009 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.