Practice30Create account

Four couples are re-paired for a dance so that every man dances with a woman who is NOT his own wife. In how many ways can this be done?

Competition practicePermutations & Combinations
  • A24
  • B23
  • C8
  • D9

Step-by-Step Solution

This is a derangement of 4: . (23 only excludes the case where every man has his own wife.)
Answer: D) 9

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Permutations & Combinations practice questions

More Permutations & Combinations practice

How many positive whole numbers less than 10,000 have digits adding up to 9?The arrangements of the letters of INDIA are written in dictionary order. What is the…Ten straight lines are drawn in a plane so that no two are parallel and no three pass…In how many 6-digit numbers do odd and even digits alternate (odd, even, odd, … or even,…A lucky draw picks 3 different tokens from tokens numbered 1 to 30 (order ignored). In…