Question

How many different kinds of punch can be made from 2 of the following: cranberry juice, apple juice, orange juice, and passion fruit juice?

it be 4!x2!/2 right?

Answer 1

4 choose 2 i think

Answer 2

4 pick 2 would have doubles in it

Answer 3

what do you mean?

Answer 4

i mean that 4 P 2 = 12

and that 4 C 2 = 6

Answer 5

4 P 2 counts apple + cran separate from cran + apple

Answer 6

4 C 2 weeds out the duplicity

Answer 7

don't think they have that option

Answer 8

\[4P2=\frac{4!}{(4-2)!}\]
\[4C2=\frac{4!}{2!(4-2)!}\]

Answer 9

is that minus sign suppose to be a multiplication sign?

Answer 10

no, its spose to be a minus sign; another way to write it is to simplify it as: \(\cfrac{4!}{2!2!}\)

Answer 11

how did you simplify it?

Answer 12

(4-2)! = 2!

Answer 13

ok thanks ima try next one by myself now

Answer 14

good luck