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

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

Options:

Correct Answer: 6

Exam Year: 2015

Solution:

The number of arrangements of 3 different colored balls is 3! = 6.

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

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.

Permutations – The arrangement of distinct objects in a specific order, calculated using factorial notation.