Solveeit Logo

Question

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

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.

A

63

B

60

C

77

D

81

Answer

60

Explanation

Solution

Three letters can be posted in 4 letter boxes in 43=644^{3} = 64 ways but it consists the 4 ways that all letters may be posted in same box. Hence required ways = 60.