Question

(Explain please) Evaluate the factorial expression:

a) (n + 9)! / (n + 9)
b) (n + 9)!
c) n! + 9
d) n! - 9

Answer 1

Factorial expressions can be evaluated by multiplying all the positive integers from a given number down to 1. The expressions in question represent either the factorial of (n + 9) or the factorial of n plus or minus 9.

Step-by-step explanation:

Factorial Expression Evaluation:
a) (n + 9)!: This expression represents the factorial of (n + 9). To evaluate it, you would multiply all the positive integers from (n + 9) down to 1. For example, if n = 3, then (n + 9)! = 12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.
b) (n + 9)!: Same as a), it represents the factorial of (n + 9).
c) n! + 9: This expression represents the factorial of n plus 9. To evaluate it, you would first calculate n! by multiplying all the positive integers from n down to 1, and then add 9 to the result.
d) n! - 9: This expression represents the factorial of n minus 9. To evaluate it, you would first calculate n! by multiplying all the positive integers from n down to 1, and then subtract 9 from the result.