JEE MATHEMATICS MCQ: PERMUTATIONS

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In a shooting competition, a man can score 5, 4, 3, 2 or 0 points for each shot. Then, the number of different ways in which he can score 30 in seven shots, is

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Correct option: C

420

Option C (420) is correct because it represents the coefficient of x³⁰ in the generating function, accounting for all possible combinations of scores to reach 30 in 7 shots.

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