0!

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises Evaluate the following

(7-3)!

6!

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises Evaluate the following

= =

16 !14 !

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises

How many different rolls are there of a single die?

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises How many different rolls are there of a pair of dice if each die

is distinguishable. (Perhaps think of one as red and one as green and ‘red 5/green3’ is different than a ‘red 3/green 5’.)

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises You get a triple-scoop ice cream cone with vanilla, chocolate

and strawberry as possible flavors. Flavors can be repeated or not repeated and two cones are considered to be different if flavors are the same but occur in a different order. How many

different cones are possible?

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises You get a triple-scoop ice cream cone with vanilla, chocolate

and strawberry as possible flavors. Flavors CANNOT be repeated but two cones are considered to be different if

flavors occur in a different order. How many different cones are possible?

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises You get a triple-scoop ice cream cone with vanilla, chocolate

and strawberry as possible flavors. Flavors CANNOT be repeated and the order of the scoops does not matter. How

many different cones are possible?

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises You get a DOUBLE-scoop ice cream cone with vanilla,

chocolate and strawberry as possible flavors. Flavors CANNOT be repeated and the order of the scoops does not matter.

How many different cones are possible?(Just give the answer symbolically. Don’t evaluate it.)

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises How many different ways can a student match 14 terms with their definitions if no term or definition can be used twice?

(Leave the answer as a permutation in symbolic form.)

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises

Twelve magazines are competing for six identical excellence in journalism awards. No magazine can get more than one award.

How many ways can 6 of the 12 magazines receive an award?Write the answer in symbolic form (but do not evaluate it).

Evaluate your answer from above.

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises

In how many ways can a mayor choose the 6 members of her advisory council from 14 nominees?

In how many ways can she choose the 6 member group if2 of the 6 selected will be officers (a chair and vice chair)?

MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises To the right is one of the possible “modified” BINGO

cards that satisfy the following conditions:The B column must contain only numbers 1-15. The I column must contain only numbers 16-27.The N column must contain only numbers 28-43.The G column must contain only numbers 44-57.The O column must contain only numbers 58-75.

B I N G O

12 19 34 54 67

9 27 36 52 66

8 20 FREE 55 75

7 24 42 44 68

5 23 30 48 74How many different O columns are possible?(Note: In BINGO, the order of the numbers is important.)