A group of 25 people are going to run a race. The top 8 finishers advance to the finals. Determine the number of possible outcomes.

n[total]=25

n[top finishers]=8

the number of possible outcome

=outcomes

Step-by-step explanation:

to determine the number of possible outcomes we can consider Combination given by

where:

so let n and r be 25 and 8 respectively thus

substitute:

simplify parentheses:

rewrite numeratorr:

reduce fraction:

simplify numerator and denominator:

simplify division:

hence,

the number of outcomes is 1081575

21/58.

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