Concept explainers
Evaluate each expression.
a. 6!
b. 11!
c. 2!
d. 9!
e. 9P6
f. 11P4
g. 8P0
h. 10P2
a.
The value of 6!
Answer to Problem 14E
The value of 6! is39,916,800.
Explanation of Solution
Calculation:
The formula used to find the factorial of any number n is given below:
Thus, 6! is calculated as follows:
Thus, the value of 6! is720.
b.
The value of 11!
Answer to Problem 14E
The value of 11! is 39,916,800.
Explanation of Solution
Calculation:
The formula used to find the factorial of any number n is given below:
Thus, 11! is calculated as follows:
Thus, the value of 11! is39,916,800.
c.
The value of 2!
Answer to Problem 14E
The value of 2! is2.
Explanation of Solution
Calculation:
Thus, the value of 2! is 2.
d.
The value of 9!
Answer to Problem 14E
The value of 9! is 362,880.
Explanation of Solution
Calculation:
9! is calculated as follows:
Thus, the value of 9! is 362,880.
e.
The value of
Answer to Problem 14E
The value of
Explanation of Solution
Calculation:
Permutations is an arrangement of n objects in r ways
Substitute n as 9 and r as 6
Thus, the value of
f.
The value of
Answer to Problem 14E
The value of
Explanation of Solution
Calculation:
Permutations is an arrangement of n objects in r ways
Substitute n as 11 and r as 4
Thus, the value of
g.
The value of
Answer to Problem 14E
The value of
Explanation of Solution
Calculation:
Permutations is an arrangement of n objects in r ways
Substitute n as 8 and r as 0
Thus, the value of
h.
The value of
Answer to Problem 14E
The value of
Explanation of Solution
Calculation:
Permutations is an arrangement of n objects in r ways
Substitute n as 10 and r as 2
Thus, the value of
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