# There are 35 numbers in the Massachusetts Mass Cash game. In how many ways can a player select five of the numbers?

##### 1 Answer

Condition where order matters

Condition where order not matter

#### Explanation:

Note that the notation ! means 'Factorial'.

An example

Case 1

If the order matters then you use the standardised form of

Case 2

If order does not matter then we use

The trick is to look for values you can cancel out.

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Suppose we have Case 2

Then

Note that

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Suppose we have Case 1

Case 2 has part way answered it but we need to cancel out the division by 5! So we multiply by 5!