Multiple choice

If a man and his wife enter a bus in which five seats are vacant, then the number of different ways in which they can be seated is

  1. 2

  2. 5

  3. 20

  4. 40
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first person can choose any of the 5 seats. The second person can then choose any of the remaining 4 seats. The total number of ways is 5 * 4 = 20.

AI explanation

The man and his wife need to be seated in 2 of the 5 vacant seats, which is a permutation problem where order matters. The number of ways to choose and arrange 2 people from 5 vacant seats is calculated using the permutation formula nPr. Thus, the calculation is 5P2, which is 5 times 4, equaling 20 ways.

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