Using Combination formula , total 286 possible ways are there to choose 10 players out of thirteen to take the field.
Combination : A combination is a selection of elements from a set with different members, so the order of selection does not matter.
It is denoted by ⁿC ₓ = n!/(n-x)! x! where, C is use for combination, n is total possible objects and x is randomly selected objects.
We have given that ,
total people on a softball team (n) = 13 Number of people whose are choose to take the field = 10 players out of 13
we have to calculate the number of ways to choose 10 players out of 13 team players = ¹³C₁₀
= 13! / 10! × 3!
= 13×12×----× 1 / (10×9×---×1)× 3×2×1
= 13×12×11/6 = 13×11×2 = 286
Hence , 286 is required number of ways to choose 10 players to take the field.
To learn more about Combination formula, refer:
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