12 school teams are participating in quiz contest then the number of w...
Introduction: The quiz contest is being participated by 12 school teams. The objective is to determine the number of ways the first, second, and third positions can be won.
Formula: The formula for determining the number of ways that a set of items can be arranged is given by n! / (n-r)! where n is the total number of items and r is the number of items being arranged.
Calculation:
1. First position: There are 12 teams that can win the first position.
2. Second position: After the first position has been awarded, there are 11 teams left that can win the second position.
3. Third position: After the first and second positions have been awarded, there are 10 teams left that can win the third position.
Using the formula, we can determine the number of ways the first, second, and third positions can be won:
12! / (12-3)! = 12 x 11 x 10
= 1,320
Conclusion: There are 1,320 ways that the first, second, and third positions can be won in the quiz contest.
12 school teams are participating in quiz contest then the number of w...
12 ×11 × 10 = 1320