Permutations and combinations Assignment

How many ways can you create a workout (exercise) plan if you have to choose one each from:

10 flexibility exercise

5 lower body exercises

7 upper body exercises

• 1000
• 9
• 27
• 100

3.Suppose you can choose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.

• None of the answers are correct.
• 10
• 30
• 900

5.In Pascal’s triangle we find a row with 1, 2 and 1. In the language of combinations using N take n, what is the ”2”?

How many ways can you turn in a batting order for a baseball team if you only have 9 players?

Suppose a lawyer must select 4 jurors from a set of six candidates? How many groups are possible?

How many ways can 3 runners be selected for the Olympics from a field of 5 contestants?

How many ways can the first 3 places be awarded in a race involving  5 contestants (excluding ties)?

How many ways can the positions of president and vice president be assigned from a group of 8 people?

Find  the Number of hugs possible in a family of 5 people (no repeat hugs).

You have 9 families you would like to invite to a wedding. Unfortunately, you can only invite 6 families. How many different sets of invitations could you write?

10) Suppose we have to select 5 managers from a list of 10. How many ways can this be done? Give the correct expression that gives the answer.