A photographer is taking pictures of a bride and groom and their 6 attendants. If he will take photographs of 3 people in a group, how many different groups can he photograph? Group of answer choices36485672
Question
A photographer is taking pictures of a bride and groom and their 6 attendants. If he will take photographs of 3 people in a group, how many different groups can he photograph? Group of answer choices36485672
Solution
The problem can be solved using the combination formula which is nCr = n! / r!(n-r)!.
Here, n is the total number of people and r is the number of people in each group.
In this case, n = 8 (bride, groom, and 6 attendants) and r = 3.
So, the number of different groups the photographer can photograph is:
8C3 = 8! / 3!(8-3)! = 876 / 321 = 56.
So, the photographer can take pictures of 56 different groups of 3 people.
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