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

Practice Questions

Q1
What is the value of the expression 5! / (3! * 2!)? (2020)
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

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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