JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

Number of functions , that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to .

Answer: 392

Solution

98 ways to choose which of first 98 gets image 1, times 2 choices for image of 99, times 2 choices for image of 100 = 98×2×2 = 392.

Question ID VK-002063