Permutations And Combinations Question 306

Question: If a man and his wife enter in a bus, in which five seats are vacant, then the number of different ways in which they can be seated is [Pb. CET 2004]

Options:

A) 2

B) 5

C) 20

D) 40

Show Answer

Answer:

Correct Answer: C

Solution:

  • There are five seats in a bus are vacant. A man sit on any one of 5 seats in 5 ways. After the man is seated, his wife can be seated in any of 4 remaining seats in 4 ways. Hence total number of ways of seating them = $ 5\times 4=20 $ .