# a class of 35 students with 17 boys and 18 girls must select 10 leaders. how many ways are there to select the 10 leaders if at le

a class of 35 students with 17 boys and 18 girls must select 10 leaders. how many ways are there to select the 10 leaders if at least one girl and at least one boy must be selected?

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1. thnahdat
183579397 ways can they be selected such that at least one boy should be there.
What is combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
Given:
Number of boys =17
Number of girls =18
Total number of students= 35
Now,
total number of combinations= 35 C 10
=183579397
Now,
Number of combination that one girls from 18 girls = 18C1
=18
and
9 boys from 17 = 17C9
=24310
Hence, total number of  ways can be selected = 183579397