Factorial!
This is in preparation for writing a program to calculate the factorial of a user-provided number.
- 1.
How many different orders can 3 students be in when they are standing in a line?
- A.
9
- B.
6
- C.
3
- D.
2
- E.
1
Correct Answer
B. 6Explanation
All 6 different ways are shown above.Rate this question:
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- 2.
How many different possibilities are there for the first student?
- A.
1
- B.
2
- C.
3
- D.
4
Correct Answer
C. 3Explanation
3 because the student could be Abigail, Brent, or Candy.Rate this question:
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- 3.
After someone takes the first spot in the line, how many different possibilities are there for the second student?
- A.
0
- B.
1
- C.
2
- D.
3
Correct Answer
C. 2Explanation
2 because if Abigail is first in line, then the 2nd student can be either Brent or Candy. Once a student is in the first spot, there are only 2 students left to choose from for the second spot.Rate this question:
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- 4.
After the first and second spots have been taken, how many students are available for the 3rd spot?
- A.
0
- B.
1
- C.
2
- D.
3
Correct Answer
B. 1Explanation
1 because there is only 1 student left.Rate this question:
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- 5.
What can you do with the numbers 3, 2, and 1 to get the answer 6?
- A.
3 + 2 + 1 = 6
- B.
3 * 2 * 1 = 6
- C.
3 + 2 * 1 = 5
- D.
Both A and B result in 6, but B is the correct one, 3 * 2 * 1 = 6
Correct Answer
D. Both A and B result in 6, but B is the correct one, 3 * 2 * 1 = 6Explanation
The fundamental counting principal of probability tells us to multiply the numbers of ways for each spot. Let's look at another situation in which multiplication is the only one that will work.Rate this question:
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- 6.
How many different arrangements can 4 students be in, when they are standing in a line?
- A.
4
- B.
16
- C.
24
- D.
96
Correct Answer
C. 24Explanation
All 24 different ways are shown above.Rate this question:
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- 7.
Which pattern of mathematical operations works for both 3 students, resulting in 6 ways, and also for 4 students, resulting in 24 ways?
- A.
4 + 3 + 2 + 1
- B.
4 * 3 * 2 * 1
- C.
4 + 3 * 2 * 1
- D.
4 + 3 + 2 * 1
Correct Answer
B. 4 * 3 * 2 * 1Explanation
4 * 3 * 2 * 1 = 24
This is called factorial.Rate this question:
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- 8.
4! = 4 * 3 * 2 * 1 = 24 This is called factorial. The symbol for factorial is the exclamation point. 4! = 243! = 3 * 2 * 1 = 6, so 3! = 6Mark ALL of the following that are acceptable ways to show how 4 factorial is equal to 24.
- A.
4! = 1 * 2 * 3 * 4 = 24
- B.
4! = 4 * 3 * 2 * 1 = 24
- C.
4! = 4 * 3 * 2 = 24
- D.
4! = 2 * 3 * 4 = 24
Correct Answer(s)
A. 4! = 1 * 2 * 3 * 4 = 24
B. 4! = 4 * 3 * 2 * 1 = 24
C. 4! = 4 * 3 * 2 = 24
D. 4! = 2 * 3 * 4 = 24Explanation
All of these are acceptable ways to show that 4! = 24.Rate this question:
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- 9.
Terms are multiplied. Numbers are multiplied. Multipliers are multiplied. Which of these is also a word for any numbers that are being multiplied?
- A.
Factors
- B.
Products
- C.
Factorials
- D.
Addends
Correct Answer
A. FactorsExplanation
In 4! = 2 * 3 * 4 = 24, the 2, 3, and 4 are called factors.Rate this question:
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- 10.
In 4! = 2 * 3 * 4 = 24, what is 24 called more specifically than a product?
- A.
Factor
- B.
Product
- C.
Factorial
- D.
Addend
Correct Answer
C. FactorialExplanation
In 4! = 2 * 3 * 4 = 24, the 24 is a specific kind of product called a factorial.Rate this question:
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- 11.
Which of these assignment statements could be used for accumulating a sum in a computer program?
- A.
Sum = Number + Number + Number
- B.
Sum = Sum + Number
- C.
Sum = 0
- D.
Sum = Addend
Correct Answer
B. Sum = Sum + NumberExplanation
Sum = Sum + Number is used for accumulating a sum. The value in memory has the new number added to it and the new sum replaces the old sum in memory.Rate this question:
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- 12.
Sing the variables Factor and Factorial, extend your understanding of accumulating a sum to adapt it to calculating a factorial, one factor at a time. Write the assignment statement.
Correct Answer
Factorial = Factorial * Factor
factorial = factorial * factor
Factorial=Factorial*Factor
factorial=factorial*factor
Factorial = Factor * FactorialExplanation
You might have the concept correct but made a mispelling. I am not telling you the correct answer now though, because you will be putting this in your program.Rate this question:
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Jan 11, 2013Quiz Edited by
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Apr 26, 2010Quiz Created by
Jhangen
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