A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H

Question

3 years ago

5

ow many sets of seven marbles include at least one yellow one but no green ones

1 answer:

lapo4ka [179] · Answer 1 · 2021-11-28T07:50:20+03:00

Answer: 8

Step-by-step explanation:

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

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

$^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8$

Number of sets of seven marbles include at least one yellow one but no green ones = 8