Identical prizes are to be given to two winners from a group of 12 contestants. What counting formula would you use to determine how many ways the prizes could be given out?

A. Addition rule
B. Permutation formula
C. Combination formula
D. Multiplication formula



Answer :

Final answer:

The Combination formula is used to determine the ways prizes can be given to two winners from 12 contestants.


Explanation:

The counting formula that would be used to determine how many ways the prizes could be given out to two winners from a group of 12 contestants is the Combination formula.

The Combination formula is used when order does not matter, and it is calculated using the formula: nCr = n! / [(n - r)! r!], where n is the total number of contestants and r is the number of winners to be chosen.

In this case, since the order of the winners does not matter (they are both receiving the same prize), we use the Combination formula to calculate the number of ways the prizes could be given out.


Learn more about combinatorics here:

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