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If there are 62 onto mapping from a set X containing n elements to the set , then is equal to
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Correct option is C
Let X=x1,x2,…,xnEach xi can have two images viz – 1 and 1. Thus, there are 2n mappings from X to Y. But there are exactly two map ping which are not onto. These are when all the elements are mapped to – 1 or when all the elements are mapped to 1. ∴there are 2n−2 onto mapping from X to Y Set 2n−2=62=⇒2n=64=26⇒ n=6Similar Questions
If then equal to
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