60.6k views
2 votes
How many different 12 member juries can be chosen from a pool of 20 people?

User TanGio
by
4.8k points

1 Answer

5 votes

Answer:

1,007,760

Explanation:

This is a question that bothers on selection

Using the combination formula

nCr = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

User Jason Roman
by
5.5k points