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How many ways can 3 different colored balls be arranged in a row? (2022)
How many ways can 3 different colored balls be arranged in a row? (2022)
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Q1
How many ways can 3 different colored balls be arranged in a row? (2022)
6
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The number of arrangements of 3 distinct balls is 3! = 6.
Questions & Step-by-step Solutions
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Q
Q: How many ways can 3 different colored balls be arranged in a row? (2022)
Solution:
The number of arrangements of 3 distinct balls is 3! = 6.
Steps: 6
Show Steps
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 of 'n' distinct items is 'n!'. Here, 'n' is the number of balls, which is 3.
Step 4: Calculate 3! (3 factorial). This means we multiply 3 by all the whole numbers less than it: 3! = 3 × 2 × 1.
Step 5: Perform the multiplication: 3 × 2 = 6, and then 6 × 1 = 6.
Step 6: Therefore, the total number of ways to arrange the 3 different colored balls in a row is 6.
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