Section 13.1 Counting.

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Presentation transcript:

Section 13.1 Counting

Counting the number of elements in a set n(A) If A { students in class} n(A) =

Those in Set A that are not in Set B = 35 – 18 = 17 Think those 18 in both count for both A and B so they must be taken out of each. Lets look at a picture of this (Venn diagram) Those in Set A that are not in Set B = 35 – 18 = 17 Those in Set B that are not in Set A = 52 – 18 = 34 So total is 18 + 17 + 34 = 69 students.

This is the formula we just used. Does this remind you of anything?

U A B 7 11 8 4 3 2 9 C How many are in A? How many are in B? 25 21 How many are in B and C? How many are in A but not C? 6 18 How many are in A and C but not B? How many in B or A? 3 35

This is a counting problem with choices at each level This is a counting problem with choices at each level. A Venn diagram is not appropriate in this case but there is no overlapping just different paths. Instead we will use a stem diagram.