What is the value of the expression 5! / (3! * 2!)? (2020)

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Question: What is the value of the expression 5! / (3! * 2!)? (2020)

Options:

Correct Answer: 10

Exam Year: 2020

Solution:

5! = 120, 3! = 6, and 2! = 2. Thus, 120 / (6 * 2) = 10.

What is the value of the expression 5! / (3! * 2!)? (2020)

What is the value of the expression 5! / (3! * 2!)? (2020)

Step 1: Understand what '!' means. The symbol 'n!' means 'n factorial', which is the product of all positive integers from 1 to n.
Step 2: Calculate 5!. This means 5! = 5 × 4 × 3 × 2 × 1 = 120.
Step 3: Calculate 3!. This means 3! = 3 × 2 × 1 = 6.
Step 4: Calculate 2!. This means 2! = 2 × 1 = 2.
Step 5: Substitute the values into the expression. We have 5! / (3! * 2!) = 120 / (6 * 2).
Step 6: Calculate 6 * 2. This equals 12.
Step 7: Now divide 120 by 12. This equals 10.

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