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no of ways of selecting 8 integers a_i such that 1<a_1<=...<=a_8<=8

Source: Mexican Mathematical Olympiad 1988 OMM P4

July 27, 2018
combinatoricsIntegers

Problem Statement

In how many ways can one select eight integers a1,a2,...,a8a_1,a_2, ... ,a_8, not necesarily distinct, such that 1≤a1≤...≤a8≤81 \le a_1 \le ... \le a_8 \le 8?
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