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Sum

From 20 raffle tickets in a hat, four tickets are to be selected in order. The holder of the first ticket wins a car, the second a motor cycle, the third a bicycle and the fourth a skateboard. In how many different ways can these prizes be awarded?

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#### Solution

The first price can be awarded in 20 different ways.

- The second prize can be awarded in 19 ways.
- The third prize can be awarded in 18 ways.
- The fourth prize can be awarded in 17 ways.

∴ By fundamental principle of multiplication, the total nimber of ways the prizes can be awarded is = 20 + 19 + 18 + 17 = 74

Concept: Combinations

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