JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

The number of sequences of ten terms, whose terms are either 0 or 1 or 2, that contain exactly five 1s and exactly three 2s, is equal to :

Answer: (2)

Solution

Arrange 5 ones, 3 twos, 2 zeros in 10 places: 10!/(5!3!2!) = 2520.

Question ID VK-002502