# Unit 1 Lesson 6: Exercise 2

1. How many different 3 digit numbers can be made using the digits 1, 2 and 3 if each digit is used once?
2. How many different 3 digit numbers can be made using the digit 1,2 and 3 if each digit can be used more than once?
3. How many different 4 digit numbers can be made using the digits 0, 1, 2 and 3? HOW MANY TIMES?
4. How many different 4 digit numbers can be made using the digits 1,2,3 and 4 if each?
5. A fair coin is tossed twice, write all the possible outcomes.
6. In a class of 255 students 80 offer chemistry only and 125 offer physics only. Each student studies at least one of the two subjects. How many students study physics?
7. Five students are entered in a race. How many different arrangements of 1st 2nd and 3rd are possible?
8.  In a class of 40 students 25 of them study English and 15 study Art. If 5 students study neither English nor Art, how many students study both English and Art.
9. Cans in a supermarket display are stack as shown.

a) How many cans are in the stack with 20 in the bottom row?

b) How many cans are in the bottom row if there are 45 cans in the stack?

c) Is there a number pattern? Describe what you notice.

10) A tree surgeon charges \$15.50 to cut a log into 4 pieces. If the   same rate       applies, how much will it cost to cut another log into 7 pieces?

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