JEE Main 2024 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2024

The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four at a time, is equal to .

Answer: 3734

Solution

The letters are I ×3, T ×2 and D, S, R, B, U, O, N once each (9 distinct letters). Four letters all different: ⁹C₄ × 4! = 3024. Two alike plus two different: ²C₁ ×

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Question ID VK-017457