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In how many ways can 3 different colored balls be arranged in a row? (2015)

Practice Questions

Q1
In how many ways can 3 different colored balls be arranged in a row? (2015)
  1. 6
  2. 3
  3. 9
  4. 12

Questions & Step-by-Step Solutions

In how many ways can 3 different colored balls be arranged in a row? (2015)
  • Step 1: Understand that we have 3 different colored balls. Let's call them Ball A, Ball B, and Ball C.
  • Step 2: We want to find out how many different ways we can arrange these 3 balls in a row.
  • Step 3: The formula to find the number of arrangements (or permutations) of 'n' different items is 'n!'.
  • Step 4: In our case, 'n' is 3 because we have 3 balls. So we need to calculate 3!.
  • Step 5: Calculate 3! which means 3 x 2 x 1 = 6.
  • Step 6: Therefore, there are 6 different ways to arrange the 3 different colored balls.
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