Sets, Relations & Functions
Functions
nta_pyq_2025_jan
Grade 11
Question:
Number of functions f : {1, 2, \ldots , 100} \to {0, 1}, that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to ________.
Step-by-Step Solution
Key Concept: Apply the core result for domains, ranges and functional equations and simplify using the given constraints.
(392) 392 Ans.
Correct Answer: 392