The total number of onto functions from a set containing 5 elements to a set containing 3 elements is: A. 150 B. 243 C. 125 D. 120 Answer: A) 150 Explanation: Using the inclusion-exclusion principle: 3⁵ − ³C₁(2⁵) + ³C₂(1⁵) = 243 − 3(32) + 3(1) = 243 − 96 + 3 = 150.

imo class 12 relations and functions

The total number of onto functions from a set containing 5 elements to a set containing 3 elements is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The total number of onto functions from a set containing 5 elements to a set containing 3 elements is:

Answer: A) 150

Explanation: Using the inclusion-exclusion principle: 3⁵ − ³C₁(2⁵) + ³C₂(1⁵) = 243 − 3(32) + 3(1) = 243 − 96 + 3 = 150.

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