Addition principle
5 red balls and 10 blue balls are in a bag. How many ways can a red OR blue ball be picked?
15 ways
If your closet contains 5 hats, 3 coats and 3 scarves, how many different outfits could you select from your closet if u need a hat, coat and scarf today?
How many 5-digit numbers can be formed (using 0-9)?
90,000
0! = ___
1
The number of ways to arrange 5 people in one line is ______
120
There are 4 diamond cards, 6 spade cards and 10 heart cards on table. How many ways can a red OR black card be picked out randomly?
20 ways
Tommy has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate. How many outfits can you put together?
24
Car license plates have 3 letters followed by 4 numbers. If the same letter or number can be repeated, how many plates can be made?
175,760,000
n!=n(n-1)(n-2)(n-3)____
(n-4)!
The number of ways to arrange "n" people in one line is ____
n!
How many ways can a boy OR girl be selected from the M4/1 class?
40 ways
A restaurant offers 4 sizes of pizza, 2 types of crust, and 8 toppings. How many possible combinations of pizza with one topping are there?
64
Car license plates have 3 letters followed by 4 numbers. If the same letter CANNOT be repeated, how many plates can be made?
156,000,000
52!/(5!x47!) = _____
2,598,960
How many permutations are there in the word "CHAIR"?
120
How many ways can a vowel OR consonant letter be picked from the home country of Teacher Tan?
11 ways
Joy loves to eat salad! How many salads can she put together if she can pick out of one type lettuce from 2 choices, one vegetable from 4 choices and one dressing from 7 choices?
56
You take a true or false test with 10 items. How many possible answer keys can be made?
1,024
(n+2)!/(n-1)!
(n+2)(n+1)(n) or n3+3k2+2k
How many permutations in the word "THAILAND"?
20,160
If there are "m" ways to select the thing A and there are "n" ways to select the thing B, then there are m + n ways to select A or B. This is the __________ principle.
Addition
The multiplication principle says that if I can choose the thing A in "m" ways and I can choose the thing B in "n" ways, then I can choose A and B in ______ ways
mxn
You take a 5-item test with a Yes or No answer. How many different answer keys can be made?
32
(x2-4)!/(x-2)(x2-5)! = ________
x+2
How many 3-letter permutations are there in the word "ROV GAME"?
210