Aclub of twenty students wants to pick a three person subcommittee. how many ways can this be done?

1140 ways are there to select three person subcommittee from a club of twenty students

Solution:

Given that a club of twenty students wants to pick a three person subcommittee

To find: number of ways this can be done

We have to use combinations formula to solve the given sum

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula to calculate combinations is:

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 3 persons from 20 students

So, n = 20 and r = 3

To get the factorial of a number n ,the given formula is used,

Therefore,

Thus 1140 ways are there to select three person subcommittee from a club of twenty students

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step-by-step explanation: