Solve - no calc
7C0
1
A student must choose 1 of 4 science electives, 1 of 6 social studies electives, and 1 of 4 language electives. How many possible course selections are there?
96 course selections
In how many ways can Susan arrange 6 books into 4 slots on her bookshelf?
360
From 10 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible?
120
If there are 25 clips in a bag: 5 are red, 4 are blue, 10 are green, and 6 are yellow. What is the probability that you will select a green clip from the bag? Express your answer as a percent.
40%
9P2
72
A restaurant offers a choice of 4 salads, 7 main courses, and 4 desserts. How many possible 3-course meals are there?
112
There is a school raffle this week, the first prize is a coffee mug, the second prize is a car, and the third prize is a candy bar. How many ways can you hand out the prizes if 100 students entered the raffle and each student can win a maximum of one prize?
970,200
A hamburger shop sells hamburgers with cheese, relish, lettuce, tomato, onion, mustard, or ketchup. How many different hamburgers can be concocted using any 3 of the extras?
35
What is the probability of rolling two standard die and getting two even numbers? Express your answer as a percent.
25%
10C4
210
There are 5 roads leading from Bluffton to Hardeeville, 5 roads leading from Hardeeville to Savannah, and 5 roads leading from Savannah to Macon. How many ways are there to get from Bluffton to Macon?
125 ways
To open your locker, you must dial a sequence of three numbers called the lock’s combination. Given that there are 40 numbers on a lock, how many different locker combinations are there?
59,280
A stack of 8 different cards are shuffled and spread out face down. If 5 cards are turned face up, how many different 5-card combinations are possible?
56
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 6?
2/13
A stack of 7 different cards are shuffled and spread out face down. If 5 cards are turned face up, how many different 5-card combinations are possible?
21
In how many ways can 6 players be assigned to 6 positions on a baseball team, assuming that any player can play any position?
720
How many 2-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.
90
There are 15 new freshmen trying out for basketball in the fall. The coach only has 10 spots on the roster, 7 of which are already filled with returning players. How many ways can he fill the remaining spots?
455
What is the probability of drawing a red King from a standard deck of cards? Express your answer as a percent.
3.8%
In a student government election, 5 seniors, 3 juniors, and 2 sophomores are running for election. Students elect three at-large senators. In how many ways can this be done?
120
A church has 10 bells in its bell tower. Before each church service 4 bells are rung in sequence. No bell is rung more than once. How many sequences are there?
5040
A combination lock has 45 numbers on it. How many different 3-digit lock combinations are possible if no digit can be repeated?
85,140
Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his selection? How many ways can he make his selection if he decides that one of the books is a must?
126; 70
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?
1/12