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

2.If you have a combination lock that consists of three numbers, and each number in the combination has 10 options (the digits 0 to 9), how many combinations can you create?

  • 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

4.In which row will we find 3 take 2 in Pascal’s triangle?

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.


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