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In how many ways can 4 different colored balls be arranged in a row?
In how many ways can 4 different colored balls be arranged in a row?
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Practice Questions
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Q1
In how many ways can 4 different colored balls be arranged in a row?
16
24
32
48
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The number of arrangements is 4! = 24.
Questions & Step-by-step Solutions
1 item
Q
Q: In how many ways can 4 different colored balls be arranged in a row?
Solution:
The number of arrangements is 4! = 24.
Steps: 7
Show Steps
Step 1: Understand that we have 4 different colored balls.
Step 2: Realize that we want to arrange these 4 balls in a row.
Step 3: Know that the number of ways to arrange 'n' different items is given by 'n!'.
Step 4: Since we have 4 balls, we will calculate 4! (4 factorial).
Step 5: Calculate 4! = 4 × 3 × 2 × 1.
Step 6: Perform the multiplication: 4 × 3 = 12, then 12 × 2 = 24, and finally 24 × 1 = 24.
Step 7: Conclude that there are 24 different ways to arrange the 4 colored balls.
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