Permutations And Combinations Question 138

Question: There are 9 chairs in a room on which 6 persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit [MP PET 1987]

Options:

A) 6720

B) 60480

C) 30

D) 346

Show Answer

Answer:

Correct Answer: A

Solution:

  • 5 persons are to be seated on 8 chairs $ i.e. $ $ ^{8}C_3\times 5\ ! $ or 6720. {Since 5 chairs can be select in $ ^{8}C_5 $ and then 5 persons can be arranged in $ 5\ ! $ ways}.