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Consider set A = {x(1), x(2), x(3), x(4)...

Consider set `A = {x_(1), x_(2), x_(3), x_(4), x_(5)}` and set `B = {y_(1), y_(2), y_(3)}`. Function f is defined from A to B.
Number of function from A to B such that `f(x_(1)) = y_(1)` and `f(x_(2)) != y_(2)` is

A

64

B

54

C

27

D

81

Text Solution

Verified by Experts

The correct Answer is:
2
For `x_(2)` there are two options
For `x_(3), x_(4), x_(4)` there are three options
`:.` Number of such functions `= 2 xx 3 xx 3 xx 3 = 54`
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