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Statement-1: If two sets X and Y contain...

Statement-1: If two sets X and Y contain 3 and 5 elements respectively, then `.^(5)C_(3)xx3!` one-one functions can be defined from X to Y.
Statement:2: A one-one function from X to Y relates different element of set X to different elements of set Y.

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
A
A one-one functions from set X to set Y associates distinct element of X to distinct elements of Y. This can be done in `.^(5)C_(3) xx 3!` ways. Hence, `.^(5)C_(3) xx 3!` one-one functions can be defined from X to Y. So, statement-1 & 2 are true and statement-2 is a correct explanation for statement-1
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