Mark the correct alternative in the following question: If the set A contains 7 elements and the set B contains 10 elements, then the number one-one functions from A to B is

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KollegeApply · Accepted Answer

As, the number of one-one functions from A to B with m and n elements, respectively = nPm = nCm $\times$ m! So, the number of one-one functions from A to B with 7 and 10 elements, respectively = 10P7 = 10C7 $\times$ 7! Hence, the correct alternative is option (b).

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