Let n_1<n_2<n_3<n_4<n_5 be positive integers such that n_1+n_2+n_3+n_4+n_5=20. The number of such distinct arrangements (n_1,n_2,n_3,n_4,n_5) is

JEE Main Mathematics question

Let be positive integers such that . The number of such distinct arrangements is

Answer: 7

Write ; then and . Such non-decreasing sequences correspond to

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Question ID VK-020849