There are 14 programmers and 31 engineers in a company. There are ways to select a group of three representatives from the company such that one is a programmer and two are engineers.
How to select a group of three representatives from the company?
We need to include 1 engineer from 31 engineers.
So, the way we can select engineer is [tex]^{31}C_1[/tex] ways.
Now, we need to select 2 programmers from 14, so we will have [tex]^{14}C_2[/tex] ways.
Now,
[tex]^{31}C_1=31\\^{14}C_2=91[/tex]
The total number of ways will be 121 ways.
To learn more about permutation and combinations, refer to:
brainly.com/question/16837159
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