Question 5: How many different ways can 9 people line up for a picture?
Answer
The factorial, written as n!, is the product of all positive integer values of n, from 1 to n. For this problem, n=9, therefore the factorial is \(9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
Step 1 ：To determine the number of ways 9 people can line up for a picture, we need to calculate the total number of permutations.
Step 2 ：A permutation is an arrangement of objects in a specific order. In this case, there are 9 people, so the number of permutations can be calculated as the factorial of 9.
Step 3 ：The factorial, written as n!, is the product of all positive integer values of n, from 1 to n. For this problem, n=9, therefore the factorial is \(9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)
