Question

How many ways can a committee of three people be selected from a group of 20?

Answer 1

Answer:

120

Step-by-step explanation:

From 20, choose 3:

₂₀C₃ = 120

Here we use combinations instead of permutations because the order doesn't matter.

Answer 2

The combination helps us to know the number of ways an object can be arranged without a particular manner. The number of ways in which three people be selected from a group of 20 for a committee is 1140.

What is Combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{(n-r)!r!}$

where,

n is the number of choices available,

r is the choices to be made.

The number of ways in which three people be selected from a group of 20 for a committee is,

Number of ways = ²⁰C₃

                            = 20! / [3! (20-3)!]

                            = 1140

Learn more about Permutation and Combination:

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