Abag contains two red marbles, three green ones, one lavender one, six yellows, and five orange marbles. hint [see example 7.] how many sets of four marbles include exactly two green marbles? (note that this means there must be two other non-green marbles as well).

sets are 273

Step-by-step explanation:

given data

red = 2

green = 3

lavender = 1

yellow = 6

orange = 5

solution

total no of marbles are = 2 + 3 + 1 + 6 + 5 = 17

so number of way selecting  four marbles include exactly two green marbles is

2 green and 2 others

non green are = 17 - 3 = 14

so c (3,2) × c(14,2)

=

= 273

so sets are 273