Twenty dash three people purchase raffle tickets. three winning tickets are selected at random. if first prize is $1000, second prize is $500, and third prize is $100, in how many different ways can the prizes be awarded?

10626

Step-by-step explanation:

Given : The total number of people purchase raffle tickets=23

The total number of prizes = 3

Since , order matters here , so we use Permutations.

The permutation of n things taken r at a time is given by :-

Then, the number of ways the prizes can be distributed :-

Hence, the prizes can be distributed in 10626 ways.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40