NAME: ______

/ Prob and Stats

Permutations and Combinations

/ DATE: Thursday, December 12, 2013

5. What if there were 7 cities and the tournament only had 4 rounds, how many ways could the tournament be scheduled?

Generalize to find the number of ways that a tournament could be scheduled with n cities and c rounds.


How many different ways can 4 students be selected from 21 students to each win a different prize?

How many meals can a dinner patron select 2 proteins and 3 vegetables if there are 7 proteins and 5 vegetables to choose from? (order doesn’t matter)

If you have choose 4 students at random, how many different ways could you choose 1 to give a fine to?

If you have choose 4 students at random, how many different ways could you choose 2 to give a fine to?

If you are shooting 12 free throws, how many different ways could you make exactly 9 of them?

Using this knowledge, find the probability that if you have a 75% chance of making free throws, you will make exactly 9 of them?



You have a 30% of having to hand in homework on any given night.

In the quarter, there will be around 15 homeworks, find:

P(exactly 5 collected):

P(5 or less collected):