Question 181411: Data Analysis, Statistics, and Probability (worksheet)
Questions:
While answering the questions please tell me how to get the answer. Thanks.
1.A menu has 3 appetizers, 5 salads, 7 entrees, and 4 desserts. How many different meals can be made from this menu?
A.420
B.840
C.150
D.270
2.The Personal Identification Number for a bank must be a four-digit number. Each digit can be a number between zero and nine. How many possible Personal Identification Numbers are there?
A.10
B.100
C.1,000
D.10,000
3.A man tosses a six-sided die three times. How many possible outcomes are there?
A.18
B.6^2
C.6^3
D.6^4
4.A piano club with 23 members needs a president, vice president, tutor, and treasurer. How many ways can the club choose the 4 officers.
Please help, thanks.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
These are really all the same problem with different numbers. I'll show you how to do the first one:
1.A menu has 3 appetizers, 5 salads, 7 entrees, and 4 desserts. How many different meals can be made from this menu?
Pick the appetizer first, you have 3 ways to do that. Then, for each of those 3 ways to pick the appetizer, there are 5 ways to pick the salad -- so far, 15 ways to go. Now for each of those 15 ways, there are 7 ways to pick the entree...
See the pattern?
The answer is to be found in the product: 
You can do your own arithmetic.
One thing to remember when you are doing number 4. Once you have picked a president, then there are only 22 people left to choose from. Once you have picked a president and a vice-president, there are only 21 people left, and so on.
John
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