Q79.Let R = {a, b, c, d, e} and S = {1, 2, 3, 4} . Total number of onto functions f : R →S such that f(a) ≠1, is equal to ________.
What This Question Tests
This question requires calculating the number of onto functions with an additional restriction, demanding careful application of the Principle of Inclusion-Exclusion.
Concepts Tested
Formulas Used
Number of onto functions = Σ (-1)^k * nCk * (n-k)^m
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📋 Question Details
- Chapter
- Permutation & Combination
- Topic
- Number of onto functions
- Year
- 2023
- Shift
- 08 Apr Shift 2
- Q Number
- Q79
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations; Class 12 Mathematics Ch 1: Relations and Functions
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