Question

A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles. HINT (See Example 7.) How many sets of four marbles include one of each color other than lavender? sets Nood Help? Pad W atch The

Answer 1

Answer: There are 1820 sets of four marbles other than lavender.

Explanation:

Since we have given that

Number of red marbles = 3

Number of green marbles = 5

Number of lavender marbles = 1

Number of yellow marbles = 2

Number of orange marbles = 6

So, Total number of marbles = 3 + 5+ 1 + 2 + 6 = 17

We need to find the sets of 4 marbles other than lavender.

so, Number of total marbles other than lavender becomes = 17 -1 =16

Number of marbles in a set = 4

So, Number of ways becomes

`^(16)C_4\\\\=1820`

Hence, there are 1820 sets of four marbles other than lavender.