suppose a school needs to hire 2 new teachers but there are 20 recent college graduates hoping to get a teaching job at that school what is this an example of

1 answer

This scenario is an example of a "combinatorial selection problem," specifically in the context of combinations. The school has a set of 20 candidates (the recent college graduates) and needs to select 2 from that group.

In mathematical terms, this situation can be represented using combinations, where the order of selection does not matter. The number of ways to choose 2 teachers from 20 candidates can be calculated using the combination formula:

\[ \binom{n}{r} = \frac{n!}{r!(n-r)!} \]

Where \( n \) is the total number of candidates (20) and \( r \) is the number of teachers to be selected (2).