How many ways are possible to arrange an outfit of 3 shirts and 2 pants?
6
100
How many ways can 5 books be arranged on a shelf?
120
100
How many ways can the word "MATHLETE"
20,160
100
Mary picked up a red M&M, ate it, then picked up a green M&M. Would this be considered a set of independent or dependent events?
Dependent
200
A 3 course meal offers 2 choices for appetizers, 4 choices for the main course, and 3 options for dessert. How many different food combiniations are possible if you must choose one from each category?
2 x 4 x 3 = 24
200
How many ways can the letters in the word "MATH" be arranged?
24
200
A bookshelf has room for 6 books. 2 of the books are the same. How many different ways can you arrange these books?
360
200
A bag contains 2 black marbles, 2 red marbles, and 3 yellow marbles. What is the probability of picking a yellow marble, replacing it, then choosing a black marble?
3/7 x 2/7 = 6/49
300
An outfit Jennifer wears to school consists of a top, a bottom, and shoes.
TOPS: T-shirt, blouse, sweater, tank-top
BOTTOMS: jeans, skirt, capris
SHOES: flip-flops, sneakers
How many possible outfits can be made?
24
300
A horserace with 12 horses has 4 prizes given to the 1st, 2nd, 3rd, and 4th places. How many possibilities are there of 4 horses placing?
11,880
300
How many ways can the letters in "BILATERAL" be arranged?
90,720
300
Suppose you have a spinner with 5 sections (each section is numbered from 1-5), and a fair, six-sided die. What is the probability of spinning a 3 and rolling an even number on the die?
1/5 x 3/6 = 3/30 = 1/10
400
A 3 course meal offers 2 choices for appetizers, 4 choices for the main course, and 3 options for dessert. You are allergic to the ingredients in 1 of the choices for the main course - so you CANNOT order it. How many different food combinations are possible for you?
18
400
A President, Vice President, and Treasurer are selected from a group of 10 people. What is the permutation notation for this?
10 P 3
400
How many ways can the word MISSISSIPPI be arranged?
34,650
400
A bag of marbles contains 3 blue marbles, 2 red marbles, 2 green marbles. What is the probability of choosing a blue marble both times, without replacement?
3/7 x 2/6 = 6/42 = 1/7
500
An outfit Jennifer wears to school consists of a top, a bottom, and shoes.
TOPS: T-shirt, blouse, sweater
BOTTOMS: jeans, skirt, capris
SHOES: flip-flops, sneakers. How many outfits do not contain sweaters?
2 x 3 x 2 = 12
500
How many ways can 7 students be chosen for 4 chairs?
840
500
How many ways can the word "QUADRILATERAL" be arranged?
259,459,200
500
A fair die is tossed once. What is the probability of rolling a number greater than 3 or rolling an even number?