Permutations & Combinations
Venn Diagrams
Conditional Tables
Tree Diagrams
100

There are 12 students in class.  How many ways can a group of 4 be formed?

Is this a permutation or combination?

Combination
100
P(Women)
11/28= 39%
100
P(Woman)
14/31 = 45%
100
P(Blue)
1/14=7%
200

Mrs. Wilson is giving out 3 prizes for 1st, 2nd, and 3rd place.  If there are 22 students in the class, how many different ways could the prizes be awarded?

Is this a permutation or combination?

Permutation
200
P(Woman U Married)
20/28 = 71%
200
P(Men who likes skittles)
12/31 = 39%
200
P(Blue and Brown)
1/14=7%
300

There are 12 students in class.  How many ways can a group of 4 be formed?



495
300
P(Not a woman)
17/28 = 61%
300
P(Man | Skittles)
12/18 = 67%
300
P(Brown and Brown)
156/182 = 85%
400

Mrs. Wilson is giving out 3 prizes for 1st, 2nd, and 3rd place.  If there are 22 students in the class, how many different ways could the prizes be awarded?

9,240
400
P(Woman who is married)
6/28 = 21%
400
P(Skittles | Woman)
6/14 = 43%
400
P(One of each)
26/186 = 14%
500
There are 5 people in a race.  How many ways can they finish?
120
500
What does the 8 represent?
Unmarried men
500
P(Man U Woman)
31/31 = 100%
500
P(Blue and Blue)
0