Answer:
C (20, 3) = 1140
Explanation:
We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.
This is a problem of combinations where the order of trios is not important.
![C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1v4xoqhf75yvtaq2s9ut6x79zma3hu6syr.png)
![C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybcwb5j9bx7n6cgxcmpp5lm9nwtuvfug0n.png)
![C ( 2 0 , 3 ) = (( 2 0 * 1 9 * 1 8 ))/(( 3 * 2 * 1 ))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qhz4zzzzcvt73vutzts158bshvx92t44i8.png)
C (20, 3) = 1140