Questions
One mapping is selected at random from all mappings of the set s - {1, 2, 3, . . . n} into itself. If the probability that the mapping is one-one is 3/32, then the value of n is
detailed solution
Correct option is C
The total number of mapping is nn. The number of one-one mapping nC1n−1C1⋯1C1=n! Hence, the probability is n!nn=332=4!44Comparing, we get n = 4.Similar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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