[JEE Advanced 2014] $n_1<n_2<n_3<n_4<n_5$ are positive integers with sum $20$. The number of such $(n_1,\dots,n_5)$ is ____
$n_1<n_2<n_3<n_4<n_5$ are positive integers with sum $20$. The number of such $(n_1,\dots,n_5)$ is ____
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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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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