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Let {X}be a set with exactly 5 elements and {Y}be a set with e

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Let $X$ be a set with exactly 5 elements and $Y$ be a set with exactly 7 elements. If $α$ is the number of one-one function from $X$ to $Y$ and $β$ is the number of onto function from $Y$ to $X$ , then the value of $\frac{1}{5 !} (β - α)$ is _____.

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Scarlett Discussed

Let

X

be a set with exactly 5 elements and

Y

be a set with exactly 7 elements. If

α

is the number of one-one function from

X

Y

and

β

is the number of onto function from

Y

X

, then the value of

\frac{1}{5 !} (β - α)

is _____.

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Question Text	Let $X$ be a set with exactly 5 elements and $Y$ be a set with exactly 7 elements. If $α$ is the number of one-one function from $X$ to $Y$ and $β$ is the number of onto function from $Y$ to $X$ , then the value of $\frac{1}{5 !} (β - α)$ is _____.
Answer Type	Video solution: 1
Upvotes	150