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?

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?

amistre64 · Answer

4 choose 2 i think

amistre64 · Answer

4 pick 2 would have doubles in it

anonymous · Answer

what do you mean?

amistre64 · Answer

i mean that 4 P 2 = 12

and that 4 C 2 = 6

amistre64 · Answer

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

amistre64 · Answer

4 C 2 weeds out the duplicity

anonymous · Answer

don't think they have that option

amistre64 · Answer

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

anonymous · Answer

is that minus sign suppose to be a multiplication sign?

amistre64 · Answer

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

anonymous · Answer

how did you simplify it?

amistre64 · Answer

(4-2)! = 2!

anonymous · Answer

ok thanks ima try next one by myself now

amistre64 · Answer

good luck