There are 4 post box and 4 letters (same). Multiplication of the no. of ways to post the letters in

M4maths Previous Puzzles

01 Nov 2012 post box

There are 4 post box and 4 letters (same). Multiplication of the no. of ways to post the letters in the post box
1) if all post box are same.
2) if all post box are different.

OPtion

1) 24
2) 36
3) 48
4) 64
5) 92
6) 108
7) 136
8) 160
9) 180
10) none of these

Solution

no. of ways if all post box are same
= 5 [4,0,0,0],[3,1,0,0],[2,2,0,0],[2,1,1,0],[1,1,1,1]
no. of ways if all post box are different
= 35
details
cases of [4,0,0,0] 4*3*2*1/3*2*1 = 4
cases of [3,1,0,0] 4*3*2*1/2*1 = 12
cases of [2,1,1,0] 4*3*2*1/2*1 = 12
cases of [2,2,0,0] 4*3*2*1/2*1*2*1 = 6
cases of [1,1,1,1] 1 = 1

Correct Option: 10 Best Solution (0)