Set, Relation and FunctionHard
Question
A mapping is selected at random from all the mapping of set S = {1, 2, 3, .... , n} to itself such that the probability that the mapping is many one is 29/32, then n is equal to -
Options
A.4
B.5
C.6
D.7
Solution
One-one mapping = n!
Total mapping = nn
⇒ P(one-one) = 1 -
⇒ 
⇒ n = 4 (By hit & trial)
Total mapping = nn
⇒ P(one-one) = 1 -
⇒ ⇒ n = 4 (By hit & trial)
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