Question

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?

Answer 1

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