Question

An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3 person committee be created if the committee must include the male employee?

Answer 1

you need 2 female employees to make up the committee of 3.
this = 5C2 - the number of combination of 2 in 5

Answer 2

y isnt it permutations? 4 x 3 x 1

Answer 3

can you calculate 5C2?

Answer 4

yes it's 10 but how come it's not permutations i thought the order matters here

Answer 5

the order doesn't matter in this case

Answer 6

y

Answer 7

yes 5*4 /2 = 10 is correct

Answer 8

y doesn't the order matter?

Answer 9

well Jane , Lois and Jack are the same committee as Lois, Jane and Jack

Answer 10

huh

Answer 11

that-s a committee - 3 people the order they are picked doesn't matter

Answer 12

So you're saying that because the guy is gonna be in the committee anyway it doesn't matter?

Answer 13

is Jack, Lois and Jane a different committee to Lois Jane and Jack?

Answer 14

no

Answer 15

there you go then

Answer 16

still no clue

Answer 17

still think 4 x 3 x 1 is supposed to be right

Answer 18

why 4*3*1 ?

Answer 19

permutations no?

Answer 20

wait nvm i got it thanks

Answer 21

ok

Answer 22

you can write all the different combinations of 2 from 5 if you like - the man is always there
so if the females are a,b,c,d and e then combinations are

ab ac ad ae bc bd be cd ce de which are 10