Factorial!

12 Questions | Total Attempts: 183

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Factorial!

This is in preparation for writing a program to calculate the factorial of a user-provided number.


Questions and Answers
  • 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

  • 2. 
    How many different possibilities are there for the first student?
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      4

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 10. 
    In 4! = 2 * 3 * 4 = 24, what is 24 called more specifically than a product?
    • A. 

      Factor

    • B. 

      Product

    • C. 

      Factorial

    • D. 

      Addend

  • 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

  • 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.