Permutations And Combinations Question 279

Question: In how many ways 3 letters can be posted in 4 letter-boxes, if all the letters are not posted in the same letter-box

Options:

A) 63

B) 60

C) 77

D) 81

Show Answer

Answer:

Correct Answer: B

Solution:

  • Three letters can be posted in 4 letter boxes in $ 4^{3}=64 $ ways but it consists the 4 ways that all letters may be posted in same box. Hence required ways = 60.