USING LOTTERIES IN TEACHING A CHANCE COURSE Written …

lottery this would be done as follows: there are 45 × C(45,5) = 54,979,155 ways to choose your six numbers. But here your first 5 numbers must come from the 40 numbers not drawn by the lottery. This can happen in C(40,5) = 658,008 ways. Now there is only one way to match the Powerball number, so overall you have 658,008 chances out of 54,979,155 ................
................