The University of Sydney
Faculty of Economics and Business  
MathQuiz  

Factorial Notation - Quiz 1   Last unanswered question  Question  Next unanswered question

Question 1 lion

Is the following statement True or False?
0! = 0.
a) True.   b) False.

 

Not correct. Choice (a) is false.
No, by definition 0! = 1.
Your answer is correct.
By definition 0! = 1.
Question 2 lion

Which of the following evaluates 7! correctly?
a) 7! = 28.   b) 7! = 42.
c) 7! = 5040.   d) 7! = 2520.

 

Not correct. Choice (a) is false.
Try again, you have calculated 7 + 6 + 5 + 4 + 3 + 2 + 1.
Not correct. Choice (b) is false.
Try again, you have only calculate 7 × 6, not 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1.
Your answer is correct.
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.
Not correct. Choice (d) is false.
Try again, you haven’t quite finished.
Question 3 lion

Which of the following correctly evaluates 12!-
10!?
a) 12!= 120.
10!    b) 12! = 1320 .
10!
c) 12!
10! = 1.2.    d) 12!
10! = 132 .

 

Not correct. Choice (a) is false.
Try again, recall that (n +1)! = (n +1)n!,  that is 12! = 12× 11!.
Not correct. Choice (b) is false.
Try again, recall that (n +1)! = (n +1)n!,  that is 12! = 12× 11!.
Not correct. Choice (c) is false.
Try again, you have ignored the factorial signs.
Your answer is correct.
12!  12-×11-×-10!
10! =    10!     = 12× 11 = 132 .
Question 4 lion

Which of the following is the correct evaluation of   6!
4!×-2! ?
a)   6!
4!×2!-= 15.    b) --6!--
4!× 2! = 30.
c) --6!--= 0.75.
4!× 2!    d) --6!---= 60.
4!×2!

 

Your answer is correct.
--6!--   -720--
4!× 2! = 24× 2 = 15.
Not correct. Choice (b) is false.
Try again, you seem to have forgotten the 2!.
Not correct. Choice (c) is false.
Try again, you have calculated -6--.
4× 2
Not correct. Choice (d) is false.
Try again, you have calculated 6!× 2!
4!
Question 5 lion

Which of the following is the correct simplification of (n-+-5)!?
(n + 2)!
a) (n-+-5)!
(n + 2)! = (n + 5)(n + 4)(n + 3)(n + 2).    b) (n-+-5)!
(n + 2)! = (n+ 5)(n+ 4)(n + 3).
c) (n+-5)!=  5!-.
(n+ 2)!   2!    d) None of the above.

 

Not correct. Choice (a) is false.
Try again, recall that (n+ 1)! = (n+ 1)n!,  that is 5! = 5 × 4!.
Your answer is correct.
(n + 5)!   (n + 5)(n + 4)(n + 3)(n + 2)!
(n-+-2)! = ---------(n-+-2)!----------= (n + 5)(n + 4)(n + 3).
Not correct. Choice (c) is false.
Try again, this could only be true if n = 0.
Not correct. Choice (d) is false.
Try again, there is a correct answer.