A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles. HINT (See Example 7.)

Question

3 years ago

11

How many sets of four marbles include one of each color other than lavender? sets Nood Help? Pad W atch The

1 answer:

Fittoniya [83] · Answer 1 · 2022-06-22T17:34:03+03:00

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

Step-by-step 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.