Permutations and Combinations 2 Question 16

16. Let A be a set of n distinct elements. Then, the total number of distinct functions from A to A is… and out of these… are onto functions.

(1985,2M)

Show Answer

Answer:

Correct Answer: 16. nn,∑r=1n(−1)n−rCr(r)n

Solution:

  1. Let A=x1,x2,…,xn

∴ Number of functions from A to A is nn and out of these ∑r=1n(−1)n−rnCr(r)n are onto functions.

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