4 similar letters are to be posted in 4 similar letter boxes. What will be the probability that all

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26 Dec 2012 letterbox and letter

4 similar letters are to be posted in 4 similar letter boxes. What will be the probability that all the letters are in the different letter boxes.

OPtion

1) 1/2
2) 1/3
3) 1/4
4) 1/5
5) 2/5
6) 3/4
7) 1/24
8) 1/64
9) 1/16
10) none of these

Solution

total no. of possible cases are
1,1,1,1
2,1,1,0
3,1,0,0
4,0,0,0
2,2,0,0
out of these 5 only one is favourable
so answer = 1/5

Correct Option: 4 Best Solution (0)