Fundamental Counting Principle
What word in counting principle means you have to multiply the number of ways of two events to happen?
(Choose: in, or, on, and)
AND
7x6x5x4! =
(Give an answer in factorial form.)
7!
In how many ways can you make a computer password with 3 letters followed by 2 digits (or numbers) if repetition is ALLOWED?
1,757,600
In a standard deck of cards, how many red cards are there?
26
You are going back-to-school shopping. You can choose from 3 binders, 4 highlighters, and 3 colour pens. How many ways can you get one of each?
36
How many ways can you arrange 5 people in a row?
5! or 120
In how many ways can you make a computer password with 3 letters followed by 2 digits (or numbers) if repetition is NOT ALLOWED?
1,404,000
In a standard deck of cards, how many black ace cards are there?
2
A deli offers 6 sandwiches, 6 drinks, and 4 desserts. How many different combinations can you make if you choose one from each category?
144
What is 8!/5!
336
True or False
0! = 0
False
What are the 4 suits in a standard deck of cards?
hearts, diamonds, spades, clubs
You have 6 ways to go from your house to the city and 4 ways to go from the city to school. How many ways can you go from your house to school if you must stop in the city?
24 ways
What is 8!/(2!3!)
3360
In how many ways can Tan, Toey, Prame, Fah and Praew take a selfie if Prame must always stay in the middle?
24 ways
There are how many face cards?
12
How many ways can you answer a test with 5 multiple choice questions (with 4 choices) and 5 True or False questions?
32,768
Simplify
(n-2)!/(n-3)!
n-2
In how many ways can Teacher Tan set a passcode (6-digit) for his ipad if he must not repeat a number?
151,200
In standard deck of cards, in how many ways can you pick a diamond, a black card, and then a “8” card, provided you put back the picked cards into the deck?
1,352 ways