Question

A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?

Answer 1

Answer: 120

Explanation:

Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.

The total number of marbles in the bag : 2+2+1+5+6=16

Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is

`\( C(2,1) * C(2,1) * C(5,1) * C(6,1)=2 * 2 * 5 * 6\)=120` [
`\because\ C(n,1)=n`]

Hence, the number of sets of four marbles include one of each color other than lavender = 120