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[JEE Advanced 2014] n 1 n 2 n 3 n 4 n 5 are positive integers with

VAVidaara Admin Asked 2d ago 0 views 1 answer

$n_1<n_2<n_3<n_4<n_5$ are positive integers with sum $20$. The number of such $(n_1,\dots,n_5)$ is ____

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VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: $7$.

Partitions of $20$ into $5$ distinct positive parts $=$ partitions of $20-15=5$, which number $7$.

JEE Advanced 2014 · Permutations and Combinations — verified solution by the Vidaara Team.

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