Engineering
Mathematics
Permutation and Combination Basic Definitions
Question
Let n1 < n2 < n3 < n4 < n5 be positive integers such that n1 + n2 + n3 + n4 + n5 = 20. Then the number of such distinct arrangements (n1, n2, n3, n4, n5) is
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
(n1 = 1, n2 = 2, n3 = 3, n4 = 5, n5 = 9)
(n1 = 1, n2 = 2, n3 = 3, n4 = 6, n5 = 8)
(n1 = 1, n2 = 2, n3 = 4, n4 = 5, n5 = 8)
(n1 = 1, n2 = 2, n3 = 4, n4 = 6, n5 = 7)
(n1 = 1, n2 = 3, n3 = 4, n4 = 5, n5 = 7)
(n1 = 2, n2 = 3, n3 = 4, n4 = 5, n5 = 6)
(n1 = 1, n2 = 2, n3 = 3, n4 = 4, n5 = 10)