Name: Date:

**Question 1:**

A 24 hour digital clock displays the time from 00:00 until 23:59 each day. How many times does the digit "1" appear between the times of 19:00 and 19:59

**Question 2:**

You want to give 2 identical lollipops to 8 children. How many ways could the lollipops be given out if no child can have more than 1 lollipop? (The order is not important)

**Question 3:**

A book collection consists of 2 Spanish books (S1, S2), 2 French book (F1, F2)s and 2 German books (G1, G2). How many ways are there to pick a pair of books that are not both in the same language? (The order is not important)

**Question 4:**

My coat has 5 different buttons. Sometimes I do them up in order from the top, other times I do them up in a random order. How many different ways are there to do up all my coat buttons?

**Question 5:**

The full time score of a football match is 3-5. How many possible half-time scores could there have been?

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# Answers

**Question 1:**75

**Question 2:**28

**Question 3:**12

**Question 4:**120

**Question 5:**24

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