1.

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?

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!`


Discussion

No Comment Found

Related InterviewSolutions