Discrete Prob Test

1. As ice cream shop has 24 flavors and 16 toppings. How many ways can you pick a sundae that has 1 flavor and 1 topping?

From a club of 30 people, how many ways can you pick 5 members to attend a conference?

1. How many different three letter codes can you make using the letters A, B, C, D, E, F, G if no letter can be used more than once?

1. To win the Mega Millions you must pick 6 numbers from 1 to 70. How many different combinations are possible knowing that the order you pick them in does not matter?

1. In a TV show 16 people are struggling to survive in the wilderness. The producers must pick 2 people to leave this week. How many ways can they select the 2 people?

1. How many ways can you arrange the letters of the word: LOTTO

1. There are 20 people running in a race. How many ways can you get a 1^st, 2^nd and 3^rd place winner?

1. Kylie is given 12 gemstones and she wants to make them into a bracelet. How many ways can she arrange them if she does not want there to be a clasp?

1. On middle school basketball team (where they let everyone participate) there are 12 guards, 21 forwards and 15 centers. How many ways can the coach pick a starting line up of 1 center, 2 forwards and 2 guards?

In NC a basic license plate has 3 letters followed by 4 numbers. How many plates are possible?