Permutation or Combination You Decide! My fruit salad contains grapes, pineapples, strawberries,...

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Permutation or Combination Permutation or Combination You Decide! You Decide! My fruit salad contains My fruit salad contains grapes, pineapples, grapes, pineapples, strawberries, and strawberries, and blueberries. blueberries. Does it matter what Does it matter what order I place the order I place the ingredients in the ingredients in the bowl? bowl? Which one is it? Which one is it?

Transcript of Permutation or Combination You Decide! My fruit salad contains grapes, pineapples, strawberries,...

Page 1: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Permutation or CombinationPermutation or CombinationYou Decide!You Decide!

My fruit salad contains My fruit salad contains grapes, pineapples, grapes, pineapples, strawberries, and strawberries, and blueberries.blueberries.

Does it matter what order I Does it matter what order I place the ingredients in place the ingredients in the bowl?the bowl?

Which one is it?Which one is it?

Page 2: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

I Hope You Got it RightI Hope You Got it Right

Page 3: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Permutation or CombinationPermutation or CombinationYou Decide!You Decide!

My locker combination My locker combination is 23-5-17.is 23-5-17.

Does it matter what Does it matter what order I turn the order I turn the numbers?numbers?

Which one is it?Which one is it?

Page 4: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Are you still on the Right Track?Are you still on the Right Track?

Page 5: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Permutation or CombinationPermutation or CombinationYou Decide!You Decide!

Coach needs to decide Coach needs to decide who receives a Gold, who receives a Gold, Silver, and Bronze medal Silver, and Bronze medal for “Best Athlete in the for “Best Athlete in the World”World”

Does it matter what order Does it matter what order he places the names?he places the names?

Which one is it?Which one is it?

Page 6: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Are you still on the Right Track?Are you still on the Right Track?

Page 7: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Permutation or CombinationPermutation or CombinationYou Decide!You Decide!

What if my cheap Coach What if my cheap Coach can’t afford separate Gold, can’t afford separate Gold, Silver or Bronze medals. Silver or Bronze medals. The top 3 receive a The top 3 receive a certificate.certificate.

Does it matter what order Does it matter what order he prints the awards?he prints the awards?

Which one is it?Which one is it?

Page 8: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Are you still on the Right Track?Are you still on the Right Track?

Page 9: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Pick a team of 3 people from a Pick a team of 3 people from a group of 10.group of 10.

Page 10: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Pick a team of 3 people from a Pick a team of 3 people from a group of 10.group of 10.

1010CC3 3

The AnswerThe Answer

= 120= 120

Page 11: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Pick a president, Vice President, Pick a president, Vice President, and Waterboy from a group of 10.and Waterboy from a group of 10.

Page 12: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Pick a team of 3 people from a Pick a team of 3 people from a group of 10.group of 10.

1010PP3 3

The AnswerThe Answer

= 720= 720

Page 13: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Keep Trying & You’ll Get ItKeep Trying & You’ll Get It Turn in the following on a separate sheet of paper. Show your work for full Turn in the following on a separate sheet of paper. Show your work for full

creditcredit

1.1. 2020CC55 2. 122. 12PP88

3. 93. 9CC33 4. 94. 9PP33

5. 105. 10CC33

Page 14: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

In how many ways can 7 people be lined up In how many ways can 7 people be lined up given that 4 people wanted to follow one given that 4 people wanted to follow one another?another?

In how many ways can we form a committee of 6 In how many ways can we form a committee of 6 from 5 men and 5 women?from 5 men and 5 women?

In how many ways can we form a committee of 6 In how many ways can we form a committee of 6 from 5 men and 5 women such that there are at from 5 men and 5 women such that there are at least 4 men?least 4 men?

What is the probability of choosing a committee What is the probability of choosing a committee of 6 with at least 4 men?of 6 with at least 4 men?

Page 15: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Modified True or False. Modified True or False.

The probability that Jaime will win the The probability that Jaime will win the badminton game is 0.80 and the probability badminton game is 0.80 and the probability that Jane will win the chess game is 0.70. that Jane will win the chess game is 0.70. What is the probability that Jaime and Jane What is the probability that Jaime and Jane will win?will win?

P(Jaime & Jane) = 0.80 + 0.70P(Jaime & Jane) = 0.80 + 0.70

Is the solution correct? Is the solution correct?

It is not correct. Correct solution:It is not correct. Correct solution:

P(Jaime & Jane) = 0.80 x 0.70P(Jaime & Jane) = 0.80 x 0.70

Page 16: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

A box contains… 5 white, 3 red, A box contains… 5 white, 3 red, 2 green2 green

Page 17: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

A box contains… 5 white, 3 red, A box contains… 5 white, 3 red, 2 green2 green

Page 18: Permutation or Combination You Decide!  My fruit salad contains grapes, pineapples, strawberries, and blueberries.  Does it matter what order I place.

Players for Intramurals per unitPlayers for Intramurals per unit

What is the probability of choosing such What is the probability of choosing such that the player is that the player is

A) from unit 1 given he is a maleA) from unit 1 given he is a male B) from unit 2 given she is a femaleB) from unit 2 given she is a female C) from unit 4 given she is a femaleC) from unit 4 given she is a female

Male Female

Unit 1 20 20

Unit 2 15 25