Evaluate the following. Show work. DO NOT use the PRB button on the calculator. Show work.

17/15

16P5

25C3

Fifteen cyclists enter a race. In how many ways can they finish first, second, and third? Show work.

For a graduation party a caterer package allows you to choose three of five entrees, five of eight sides, and three of four desserts. Determine how many meals can be created. Show work.

The combination of a bank vault consists of four numbers that are from 0 to 49. What is the probability that a thief can guess the correct combination to open the vault? Show work.

Calculate the probability of the letters forming the word "COMMISSION". Show work.

What is the probability of drawing four hearts from a standard deck of playing cards? Show work.

A quality control inspector knows that for each batch of 50 parts made on a particular machine there are five defective parts. What is the probability of randomly selecting seven parts, three of which are defective? Show work.

Formulas:

n! FCP nPr = n!(n - r)! n!n1!n2!n3! nCr = n!(n - r)!r! P = DT