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Eleven children are playing hide and seek There are five places for hiding namely a b c d e What is the probability that all the five places are used for hiding?
Rishipoddar
11 children are playing. out of these 11 one is going to be the seeker. So, now we have 10 children and 5 places to hide. Each child can go and hide in any one of these 5 places. that implies, the number of ways they can hide is 510.
Now, if all the 5 places are to be used for hiding, it can be done in 510-(5C1 + 5C2 + 5C3 + 5C4 + 5C5) = 510- (25-1) = 510-210+1.
Therefore, the required probability is (510-210+1)/510
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