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Basic Questions 1
Basic Questions 2
Permutations (No Repeats)
Word Problems
General Facts
100

A bag contains 33 red blocks, 47 green blocks, 23 yellow blocks, and 22 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.

P(yellow or green)

14/25 OR 0.56

100

9P5

15120

100

8!

40320

100
In how many ways can a coach choose three swimmers from among five swimmers?
The coach can choose the swimmers in 10 ways.
100
Is this a permutation or a combination: fruit salad
What is a combination
200

In a plan for area codes, the first digit could be any number from 2 through 7, the second digit was either 0 or 1, and the third digit could be any number except 0. With this plan, how many different area codes were possible?

108

200
In a lucky draw chits of ten names are out in a box out of which three are to be taken out. Find the number of ways in which those three names can be taken out.
What is 120
200
How many different arrangements are there for the letters a, b, c, d, e, if letters can not be repeated?
120
200

A locker contains 20 books. You select 4 books at random. How many different sets of books can you select?

4845

200

A __________ is a selection of a group of objects in which order is important.

permutation

300
How many nine-digit numbers can be formed with the numbers 2, 2, 2, 3, 3, 3, 3, 4, 4?
1,260
300

A popular brand of pen is available in 8 colors and 5 writing tips.  How many different choices of pens do you have with this brand?

40

300
How many different ways are there to arrange your first three classes if they are math, science, and language arts?
What is 6
300
Michelle, Bruno, and Helen have been invited to a dinner party. If they each drive there separately, in how many different orders can they arrive?
6
300

A ________________ is a grouping of items in which order does not matter.

combination
400
How many different arrangements are there for the letters a, b, c, d, e, if letters can be repeated?
3125
400
In a class of 10 students, how many ways can a club of 4 students be arranged?
What is 210
400
A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?
What is 60
400
Frank and his friends are trying out a new restaurant together. They've ordered 5 dishes. If the dishes all arrive separately, in how many different orders could their dishes arrive?
120
400

What is the equation for a permutation with repeats?

total objects!/repeats!

500
The signal mast of a ship can raise nine flags at one time (three red, two blue and four green). How many different signals can be communicated by the placement of these nine flags?
1,260
500
Eleven students put their names on slips of paper inside a box. Three names are going to be taken out. How many different ways can the three names be chosen?
What is 165
500

At a benefit concert, ten bands have volunteered to perform but there is only enough time for eight of the bands to play.  How many lineups are possible?

1814400

500

Every summer in Lowell, the city puts on a big display of fireworks. For this year's event, the grand finale will use yellow, teal, maroon, and indigo fireworks. In how many different orders can the different colors of fireworks appear in the grand finale?

24
500

What is this called and give an example of it. 

!

! - Factorial 

tells you to multiply a series of descending numbers

Ex. 4! = 4 x 3 x 2 x 1 = 24