1) In order to win the jackpot in the 8-18 lottery you must match all 8 numbers chosen from 18.

a) What is the probability of winning the jackpot?

b) What is the probability of matching 7 of the 8 numbers?

2) Ms. Jenny has a box with 10 Candies left in it. There are 4 red ones, 4 blue, 1 orange and 1 green.

a) Assume a handful means anywhere from 1 Candy to all of them.

In how many ways can Ms. Jenny grab a different handful of Candies from the box?

b) If all 10 Candies were different colours(so 1 red, 1 blue, 1 orange etc.) there would be more ways to grab a handful from the box. Show that this is correct by finding the number of different ways.

c) Why are there more ways to grab handfuls in part (b)?