Permutation and Combination

1. 1. You are ordering dinner at a restaurant. In how many ways can you order a meal if you have three choices for a drink (juice, coffee, or tea), four main courses to choose from (chicken, beef, fish, or pork) and two desserts (pie or cake)?

• 24

• 120

• 720

• 5 040

2. An ice cream parlor features 20 flavors of ice cream and 10 choices of toppings. You can order them on regular, sugar, or waffle cones. An order is made by combining an ice cream flavor, a topping, and a cone. How many different orders are possible?

• 20 x 10

• 20 x 10 x 3

• 20 x 3

• 10 x 3

3. Evaluate 11P2.

• 140

• 130

• 120

• 110

4. Five boxes are to be arranged on a shelf, but there is only enough space for three books. In how many ways can these books be arranged on the shelf?

• 120

• 60

• 30

• 15

5. How many permutations can be made using the letters of the word APPLE?

• 120

• 60

• 30

• 15

6. How many 6-digit numbers can be made using the digits {1, 1, 2, 2, 3, 3}?

• 30

• 60

• 90

• 120

7. How many words starting with R can be formed by using all the letters of the word ENGINEERING?

• 24 200

• 25 200

• 26 200

• 27 200

8. A group with 11 members was asked to sit at a round table. How many arrangements are possible?

• 3 628 800

• 4 286 800

• 5 862 800

• 6 800 628

9. How many possible combinations exist when selecting a committee of 12 members from a group of 20 people?

• 8

• 40 320

• 5 079 110 400

• 125 970

10. The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players. If the captain of the team must be part of the starting lineup, how many combinations of players are possible?

• 126

• 210

• 252

• 3024