Question

A photographer is taking pictures of a wedding party. They have 10 attendants in their party; including the bride and groom you would have 12 people. If the photographer decides to take pictures of 3 people in a group, how man different groups can she photograph?

Answer 1

The photographer can take pictures of 220 different groups of 3 people from a wedding party of 12 by using the combination formula C(n, k) = n! / (k!(n-k)!).

Step-by-step explanation:

The question is about calculating the number of different groups a photographer can photograph if they decide to take pictures of 3 people at a time from a wedding party of 12 people. T

his is a combination problem in mathematics, specifically a combinatorics issue.

The formula for combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and n! represents the factorial of n.

For this scenario, we'll calculate the number of combinations of 12 people taken 3 at a time:

C(12, 3) = 12! / (3!(12-3)!)
= 12! / (3! × 9!)
= (12 × 11 × 10) / (3 × 2 × 1)
= 220

Therefore, the photographer can take pictures of 220 different groups of 3 people.