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 functions form X to Y and \beta is the number of onto functions from Y to X, then the value of 1/5!(\beta-\alpha) is______. [JEE Adv 2018 P2]

Functions

Section: Mathematics

Question : 15 of 30

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

(β−α) is______.

[JEE Adv 2018 P2]

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