Lizzie has a strange deck of 24 number cards that contains cards labeled 2 through 9 in three different colors (red, blue, and green).

(a) In how many ways can she draw one card from each color so that the sum of all the cards is 10?

(b) In how many ways can she draw one card from each color so that the sum of all the cards is 20?

Note that the colors matter

THANKS FOR ALL HELP

alskdj Mar 3, 2019

#1**+1 **

Here's my best attempt...

a)

Possible sums of 10 =

2 3 5

2 4 4

2 6 2

3 3 4 4 possibilities

For each of these there are 3 possible colors for the first card, 2 for the second and 1 for the third = 3 * 2 * 1 =

6 possibilities

So.....

4 possbilities * 6 possibilities = 24 ways

b)

Possible sums of 20

9 9 2 8 8 4 7 7 6

9 8 3 8 7 5

9 7 4 8 6 6

9 6 5

So again....we have 8 possibilities * 6 possibilities = 48 ways

CPhill Mar 3, 2019