How many different ways can 4 different colored balls be arranged in a row? (202

How many different ways can 4 different colored balls be arranged in a row? (2020)

How many different ways can 4 different colored balls be arranged in a row? (2020)

Step 1: Understand that we have 4 different colored balls.
Step 2: Realize that we want to find out how many different ways we can arrange these 4 balls in a row.
Step 3: Know that the number of arrangements of 'n' different items is calculated using the factorial of 'n', which is written as 'n!'.
Step 4: For our case, 'n' is 4 because we have 4 balls. So we need to calculate 4!.
Step 5: Calculate 4! by multiplying all whole numbers from 4 down to 1: 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 different colored balls.

Permutations – The question tests the understanding of permutations, specifically how to calculate the number of ways to arrange a set of distinct objects.