Factorials
1. Can the factorial operation be defined for negative integers? Explain
2. Match each expression on the left with an equivalent expression on the right.
a.
i.
10100
b.
ii.
6!
c.
iii.
52
d.
e.
f.
iv.
v.
vi.
10!
14
20!
3. Determine the value of each expression.
a.
b.
c.
d.
e.
f.
4. Simplify each of the following using factorials. Then evaluate.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
5. Repeat question 4 using the ! key on your calculator whenever possible.
6. Simplify
a. (
)
b.
(
)
Solutions
No you cannot calculate factorials for negative integers.
2. a. v
b. iii
c. i
3. a. 336
b. 19535040
c. 5985
4. a. 30240
b. 586051200
c. 84
g. 20
h. 990
)
6.a.
b. (
c. (
)
c.
(
d. vi
d. 36
d. 495
d. (
d.
)
e. iv
e. 3652110
e. 56
)(
)
(
)
(
)
f. ii
f. 2919735
f. 8008