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Question

The total number of injections (one-one into mappings) from {a1,a2,a3,a4} to {b1,b2,b3,b4,b5,b6,b7} is

A
400
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B
420
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C
800
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D
840
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Solution

The correct option is C 840
Let A={a1,a2,a3,a4}

B={b1,b2,b3,b4,b5,b6,b7}

n(A)=4,n(B)=7

The total number of injections = 7P4

=7!3!=7654=840

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