The probability that 5 boys would be selected would be 5/6720
How to determine the probability
From the information given, the probability can be calculated using permutation
The formula for permutation is given as;
Permutation = [tex]\frac{n!}{n - r!}[/tex]
Where;
- n is number of sets = 8
- r is the number of objects selected = 5
Substitute the values into the formula
Permutation = [tex]\frac{8!}{8 - 5!}[/tex] = [tex]\frac{8!}{3!}[/tex] = [tex]\frac{40, 320}{6}[/tex] = 6720
The probability that 5 boys would be selected is 5/6720
Thus, the probability that 5 boys would be selected would be 5/6720
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