Permutations And Combinations Question 264

Question: The number of 3 digit odd numbers, that can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition is allowed, is [Pb. CET 1999]

Options:

A) 60

B) 108

C) 36

D) 30

Show Answer

Answer:

Correct Answer: B

Solution:

  • Extreme left place can be filled in 6 ways, the middle place can be filled in 6 ways and extreme right place in only 3 ways. ( $ \because $ number to be formed is odd) \Required number of numbers = 6 × 6 × 3 = 108.