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Unit 5 Combinatorics AFL

Last updated over 5 years ago

15 questions

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Question 1

1.

There are a choice of 18 birthday cards, 6 Get Well cards, 9 Graduation cards, and 12 Anniversary cards. You select one of each. What is the total number of ways the cards can be selected?

Question 2

2.

Wendy's offers a choice of 3 sandwiches, 3 sides and 6 drinks. How many different combo meals can you order?

Question 3

3.

A person can order a new computer with a choice of 5 colors, three hard drive sizes, with or without Blu-ray, with or without a printer, with a 20 or 24 inch monitor screen, and with an i5 or i7 processor. In how many different ways can a new computer be ordered?

Question 4

4.

A math class has 12 boys and 15 girls. A group of six students are selected randomly to participate in a survey. How many different groups can be formed if each group must contain exactly 2 boys and exactly 4 girls?

Question 5

5.

Question 6

6.

How many arrangements can be made using 4 letters of the word FLOWCHARTING if no letter is to be used more than once?

Question 7

7.

In how many ways can a distinct 10-digit number be made using five 1's and five 5's?

Question 8

8.

To win at Powerball in a certain state, one must correctly select 6 numbers from a collection of 65 numbers (one through 65). The order in which the selections are made does not matter. How many different selections are possible?

Question 9

9.

A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 24 members and any member can be elected to each position? No person can hold more than one office.

Question 10

10.

Evaluate

Question 11

11.

In how many distinct ways can the letters in MISSISSIPPI be arranged?

Question 12

12.

In a contest in which 12 contestants are entered, in how many ways can the 4 distinct prizes be awarded?

Question 13

13.

How many different six letter user ID's can be formed from the alphabet if repetition of letters is allowed?

Question 14

14.

How many different six letter user ID's can be formed from the alphabet if no repetition of letters is allowed?

Question 15

15.

A security code consisted of two odd digits, followed by four even digits. To allow more codes to be generrated, a new system uses two even digits, followed by any three digits. If repeated digits are allowed, what is the INCREASE in the number of possible codes?