Quote of the Day Finally I am becoming stupider no more. -Paul Erdös the epitaph he wrote for himself.

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Presentation transcript:

Quote of the Day Finally I am becoming stupider no more. -Paul Erdös the epitaph he wrote for himself

Find Probabilities Using Combinations Section 13.3

Objectives: Define combination Find probabilities using combinations

Key Vocabulary: Combination

Combinations A permutation is a selection of objects in which order is not important. For instance, in a drawing for 3 identical prizes, you would use combinations, because the order of the winners would not matter.

Example 1: Count the combinations of two letters from the list A, B, C, D.

#1: Complete. Count the combinations of 3 letters from the list A, B, C, D, E.

Combinations

Example 2: You order a sandwich at a restaurant. You can choose 2 side dishes from a list of 8. How many combinations of side dishes are possible?

Example 3: A yearbook editor has selected 14 photos, including one of you and one of your friend, to use in a collage for the yearbook. The photos are placed at random. There is room for 2 photos at the top of the page. What is the probability that your photo and your friend’s photo are the two placed at the top of the page?

#2: Complete. In Example 2, suppose you can choose 3 side dishes out of the list of 8 side dishes. How many combinations are possible?

#3: Complete. In Example 3, suppose there are 20 photos in the collage. Find the probability that your photo and your friend’s photo are the two placed at the top of the page.

Partner Work Page 858 #4, 6, 16, 17

Homework Assignment Page 858 #8, 10, 12, 14, 18, 19, 24, 26, 32, 33