Quiz 3

Counting Techniques

1. How many ID numbers can be made from a sequence of 2 letters followed by 3 numbers?

a) 26 000b) 52 000c) 676 000d) 6 760 000

2. How many three-letter “words” can be made when the first and last letters are consonants and the middle letter is a vowel (a,e,i,o,u)?

a) 676b) 2205c) 3380d) 9261

3. Compute 6! (factorial).

a) 720b) 120c) 36d) 30

4. How many ways are there of arranging 3 different items?

a) 6b) 9c) 12d) 15

5. How many different ordered pairs of items can be selected from 12 different items?

a) 66b) 144c) 132d) 12

6. How many three-member committees can be selected from a group of 15 people?

a) 3375b) 1320c) 1500d) 455

7. How many five-letter words can be made from the letters in “hello”?

a) 120b) 60c) 30d) 25

8. How many pairs (any 2 cards) can be drawn from a deck of 52 cards?

a) 2704 b) 1326c) 2652d) 663