Question

How many different trios could be selected from a chorus of 20 singers? 20! C(20, 3) P(20, 3)

Answer 1

Answer:

C (20, 3) = 1140

Step-by-step 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.

$C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) }$

$C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) }$

$C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}$

C (20, 3) = 1140