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Let X and Y be sets containing m and n elements respectively.How many functions from X to Y are one-one according as m lt n, m gt n "and" m=n? |
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Answer» Solution :If|x|=m and |y|=N then If m lt n then NUMBER of one-one functions `=""^nP_m`. If `m GT n` then number of one-one functions =0 Ifm=n then number of one-one functions `=m!` |
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