How many different ways can 6 people be seated in a row? (2020)

How many different ways can 6 people be seated in a row? (2020)

Step 1: Understand that we want to arrange 6 people in a row.
Step 2: Recognize that each arrangement is a unique order of the 6 people.
Step 3: Use the factorial notation 'n!' to represent the number of ways to arrange 'n' items.
Step 4: For 6 people, we use '6!' which means 6 factorial.
Step 5: Calculate 6! by multiplying all whole numbers from 1 to 6: 6 × 5 × 4 × 3 × 2 × 1.
Step 6: Perform the multiplication: 6 × 5 = 30, then 30 × 4 = 120, then 120 × 3 = 360, then 360 × 2 = 720, and finally 720 × 1 = 720.
Step 7: Conclude that there are 720 different ways to arrange 6 people in a row.

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