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Stells [14]
3 years ago
5

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

ow many sets of seven marbles include at least one yellow one but no green ones
Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0

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

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