Q.

Statement-1: The number of bijective functions from the set A containing 100 elements to itself is 2100. Statement-2: The total number of bijections from a set containing n elements to itself is n!

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a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is False, STATEMENT-2 is True

answer is D.

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Detailed Solution

Statement-2 is true and so, statement-1 is False
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Statement-1: The number of bijective functions from the set A containing 100 elements to itself is 2100. Statement-2: The total number of bijections from a set containing n elements to itself is n!