Question

In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways

Answer 1

Answer: 1320 ways

Explanation:

In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.

So for the 1st prize we have 12 finalists

For the 2nd prize we have 11 finalists

And finally, for the 3rd prize we have 10 finalists

Using the multiplication principle:

Total number of ways = 12 x 11 x 10

= 1320

Therefore, there are 1320 ways the first, second, and third prizes be awarded