1. How many ways are there to arrange three numbers out of the set: {5, 2, 8, 4, 1, 7, 0}

2. From a standard deck of 52 cards, what is the probability of drawing out the A and

then the 2?

3. From a standard deck of 52 cards, what is the probability of dealing a 5 card poker

hand consisting of 3 Aces and 2 Jacks?

4. Solve for n algebraically:

1. n!n-1!=13 b) n+2! n!=4

5. If you win a free ticket in Super 7 lottery for getting 3 numbers correct, what is the

probability of winning a free ticket given that you are choosing 7 numbers from a possible

47 numbers?

6a) How many different arrangements can the letters in the word BOOKKEEPER have?

6b) How many different arrangements can the letters in the word BOOKKEEPER have if the arrangement must start with the letter R and end with the letter E?

7.You have a bag with 4 yellow candies, 3 red candies, and 2 blue candies. If you choose 4 candies from the bag for your afternoon snack....

a) How many different possible snacks are there?

b) How many different snacks are there if you choose 2 yellow and 2 blue candies?

c)How many different snacks are there if you have at least 1 blue candy?

8.The Senior Soccer schedule for the spring has five league games on it, against five different opponents. The coach cannot recall the order in which the games are to be played.

a)How many different possible orders could there be?

b) If he takes a random guess at the order of the schedule, what is the probability that he is correct?

9.A swim team has 8 swimmers. Four must be chosen for the relay race. In how many ways can this be done if:

a)There are no restrictions?

b)John must swim in the fourth position?

c)John swims fourth and a fifth swimmer must be named as a reserve?

10)There are 7 cars parked in a row of 12 available parking spaces.

a)How many arrangements of the cars are possible?

b) If one car belongs to the Headmaster who always parks in a reserved spot, how many different arrangements are possible?

11.A box of groceries contains 3 identical cans of tomato soup, 3 of the same containers of margarine, a packet of bacon, and 4 different packages of cold meat. In how many ways could these items be placed in one row along a countertop?

12.There are 7 novels, 5 biographies, and 6 math books on a shelf. How many different selections of three books may be made if:

a)they are all novels?

b)they are all biographies?

c)they are all math books?

d)they must not include a novel?

13.A teacher is asked to select 3 students from his class. He replies that there are 120 possibilities. How many students are in his class?