Suppose you have a group of 8 male and 4 female volunteers. how many ways are there to choose 6 of these volunteers for a treatm

Question

sashaice [31]

3 years ago

10

Suppose you have a group of 8 male and 4 female volunteers. how many ways are there to choose 6 of these volunteers for a treatm

ent group?

Mathematics

1 answer:

Kay [80] · Answer 1 · 2021-12-23T21:48:22+03:00

Since volunteers can be of any sexe (no precision given in your problem), then we can consider the question as how many group of 6 we can make with 12 persons:
It's a combination of 6 chosen among 12

¹²C₆ = (12!)/(6!).(12-6!)

²C₆ = (12!)/(6!).(6!)<span>

</span>¹²C<span>₆</span> = 924 Ways