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Let n1ltn2ltn3ltn4ltn5 be positive integ...

Let `n_1ltn_2ltn_3ltn_4ltn_5` be positive integers such that `n_1+n_2+n_3+n_4+n_5="20.` then the number of distinct arrangements `n_1, n_2, n_3, n_4, n_5` is

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