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Functions question

2018 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Functions
2018 · Shift 2 · Q27

Functions question

2018 · Shift 2 · Q27

JEE AdvancedMathematicsFunctionsNumerical+3 / −1

Let X be a set with exactly 5 elements and Y be a set with exactly 7 elements. If

\alpha

is the number of one-one functions from X to Y and

\beta

is the number of onto functions from Y to X, then the value of

{1 \over {5!}}(\beta - \alpha )

is ..................

Numerical answer

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