Calculate the value of 5! - 4!. (2019)

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Question: Calculate the value of 5! - 4!. (2019)

Options:

Correct Answer: 96

Exam Year: 2019

Solution:

5! = 120 and 4! = 24, so 120 - 24 = 96.

Calculate the value of 5! - 4!. (2019)

Calculate the value of 5! - 4!. (2019)

Step 1: Understand what '!' means. The symbol '!' means factorial, which is the product of all positive integers up to that number.
Step 2: Calculate 5!. This means you multiply 5 by all the positive integers less than it: 5 * 4 * 3 * 2 * 1.
Step 3: Perform the multiplication for 5!: 5 * 4 = 20, then 20 * 3 = 60, then 60 * 2 = 120, and finally 120 * 1 = 120. So, 5! = 120.
Step 4: Calculate 4!. This means you multiply 4 by all the positive integers less than it: 4 * 3 * 2 * 1.
Step 5: Perform the multiplication for 4!: 4 * 3 = 12, then 12 * 2 = 24, and finally 24 * 1 = 24. So, 4! = 24.
Step 6: Now, subtract the value of 4! from 5!. This means you calculate 120 - 24.
Step 7: Perform the subtraction: 120 - 24 = 96.
Step 8: The final answer is 96.

Factorial – The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n.