Question

choose the correct answer below.
a. $n!$ can be found by finding the sum of all positive integers from n down through 1.
b. $n!$ can be found by finding the product of all positive integers from n down through 1 and then subtracting n from that product.
c. $n!$ can be found by finding the product of all positive integers from n down through 1.
d. $n!$ can be found by finding the sum of all positive integers from n down through 1 and then dividing that sum by n.

Explanation:

The notation \(n!\) (read as "n factorial") is defined as the product of all positive integers from \(n\) down to 1. Option A describes a sum, which is incorrect. Option B adds an unnecessary subtraction step. Option D describes a sum with division, which is also incorrect. Only option C matches the standard definition of factorial.

Answer:

C. \(n!\) can be found by finding the product of all positive integers from n down through 1.