Option A: 21 pairs is the right answer
Step-by-step explanation:
Given
total strength of cycling team = 7
Captains to be selected = 2
As the order of selection doesn't matter, the combinations will be used to get the number of ways the pair can be chosen
Combination is solved as:
[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]
Here
n=7
r = 2
[tex]C(7,2) = \frac{7!}{2!(7-2)!}\\C(7,2) = \frac{7!}{2!*5!}\\=21\ pairs[/tex]
Hence,
Option A: 21 pairs is the right answer
Keywords: Combination
Learn more about selection at:
- brainly.com/question/10629017
- brainly.com/question/106300
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