Question

Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 5 choices

Answer 1

Answer:

95,040 ways

Step-by-step explanation:

The first position has 12 choices

The second has 11 choices (since first is filled)

The third has 10 choices

The fourth has 9 choices

The fifth has 8 choices

So the number of ways they can make the ranking will be;

12 * 11 * 10 * 9 * 8 = 95,040 ways

Answer 2

The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

Calculation of the number of ways:

Since Last year at a certain high school, 12 students sought the nomination for president of the student body.

So, here

we use the combination here

$= 12!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\times 7!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\div 5\times 4\times 3\times 2$

= 792 ways

Therefore, The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

Learn more about ways here: https://brainly.com/question/6669465