Question

"Que - Determine whether the situation represents permutation or combination and

determine the number of outcomes. Just give numerical answer. HINT: not a fraction
Zahria is in a race and there are 35 people in total. There will be first, second, third
place place finishers. How many possible outcomes exist?

Que - Determine whether the situation represents permutation or combination and
determine the number of outcomes. Just give numerical answer. HINT: not a fraction
Jaylin wants to check out 3 library books from a list of 20 books for a research paper.
How many possible outcomes exist?"

Answer 1

The first question represents a permutation with 39,270 possible outcomes. The second question represents a combination with 1,140 possible outcomes.

Step-by-step explanation:

The first question represents a permutation because the order of the finishers matters. Since there are 35 people and 3 places, there are 35 choices for the first place, 34 choices for the second place, and 33 choices for the third place. Therefore, the number of possible outcomes is:

35 * 34 * 33 = 39,270

The second question represents a combination because the order of the books does not matter. The number of possible combinations can be calculated using the formula for combinations:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of books (20) and r is the number of books to be selected (3). Therefore, the number of possible outcomes is:

C(20, 3) = 20! / (3!(20-3)!) = 1,140