Permutation & Combination Practice Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully. Choose the best answers.

1.
Evaluate the following:
a) 5!       b) 8P3       c) 0!       d)
Choose:
 120, 168, 1, 2 120, 336, 1, 2 120, 84, 1, 5 120, 168, 0, 5

2.
How many different 5-letter arrangements are there of the letters in the word moose?

Choose:
 120 60 30 20

3.
How many different seven-letter arrangements of the letters in the word HEXAGON can be made if each letter is used only once?

Choose:
 28 49 720 5040

4.
Two cards are drawn at random from a standard deck of cards, without replacement. Find the probability of drawing an 8 and a queen in that order.

Choose:
 4/52 4/2652 8/2652 16/2652

5.
Crystal is making personalized invitations for a party. The party-goers are Hallie, Alex, Edward, Alison, Matt, Aleia, Kyle, and Lacey. What is the probability that if Crystal selects a name at random that she will pick a name starting with the letter "A" or the letter "L"?

Choose:
 2/8 3/8 4/8 6/8

6.
There are 12 horses in a horse show competition. The top three winning horses receive money. How many possible money winning orders are there for a competition with 12 horses?

Choose:
 36 120 1200 1320

7.
Fred is lining up his four golf trophies on a shelf. How many different possible arrangements can be make?

Choose:
 24 16 10 4

8.
A password consists of three digits, 0 through 9, followed by three letters from an alphabet having 26 letters. If repetition of the digits is allowed, but repetition of the letters is not allowed, determine the number of different passwords that can be made.

Choose:
 4,368,000 11,232,000 15,600,000 18,560,000

9.
Six members of a school’s varsity fencing team will march in a parade. How many different ways can the players be lined up if Josh, the team captain, is always at the front of the line?

Choose:
 750 360 120 60

10.
License plates are formed using four letters followed by a three-digit number without repetition of either letters or digits. Zero may be chosen as the first digit of the number. How many license plates can be formed under this pattern?

Choose:
 56,750,000 175,760,000 180,835.200 258,336,000

11.
Determine whether the following situations would require calculating a permutation or a combination:
 a) Selecting five students to attend a State conference. permutation     combination b) Selecting a first play winner and a second place winner. permutation     combination c) Assigning students to their seats on the first day of school. permutation     combination

12.
A customer selects three different toppings for a pizza. If there are 9 different toppings from which to choose, how many different pizzas can be made?

Choose:
 12 27 84 504

13.
A teacher chooses a committee of 5 students from the class of 25 students. How many different committees can be chosen?

Choose:
 53,130 6,375,600 106,260 3,187,800

14.
There are 12 juniors and 20 seniors in the Debate Club. If the members decide to send a team of 2 juniors and 3 seniors to a Debate Conference, how many different conference teams are possible?

Choose:
 46,200 75,240 84,560 108,240

15.
If represents the number of combinations of n items taken r at a time,
what is the value of if n = 4 ?
Choose:
 24 14 6 4

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