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Q.

Statement (A): The function which is not an onto is called many to one.
Statement (B): If $n (A) = 6$ , then the number of bijective functions from set ‘A’ to itself is 720.

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a

Both A and B are false

b

A is false and B is true

c

A is true and B is false

d

Both A and B are true

answer is D.

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Detailed Solution

Statement (A): The function which is not an onto is called into.

Statement (B): Number of bijective functions are $n (A)!$ or $n (B)!$

$6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$

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Statement (A): The function which is not an onto is called many to one.Statement (B): If nA=6, then the number of bijective functions from set ‘A’ to itself is 720.