A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many col

Question

3 years ago

6

or combinations are possible?

2 answers:

Yanka [14] · Answer 1 · 2022-06-13T21:36:22+03:00

Yanka [14]3 years ago

5 0

Answer:

220 combinations.

Step-by-step explanation:

This will be 12C3 combinations.

= 12! / [(12-3)! 3!].

A quick mehtod to calculate this is 12*11*10 / 3*2*1

= 2*11*10

= 220.

Debora [2.8K] · Answer 2 · 2022-06-13T19:37:40+03:00

Answer:

220 color combinations are possible.

Step-by-step explanation:

A combination is a way of selecting members from a grouping, such that the order of selection does not matter.

in our case we have 3-combinations of a set of 12 elements:

C(12, 3) = 12!/(3! (12-3)!)

C(12, 3) = 12!/(3! 9!)

C(12, 3) = (10*11*12)/(2*3)

C(12, 3) = 220 color combinations are possible.