Question

Jessie and Casey are getting married. In how many ways can a photographer at their wedding arrange 6 people in a row from a group of 10 people, where the spouses are among these 10 people, if

Jessle must be in the picture.
A. 10.9.8.7.6
B. 6.9.8.7-6.5
C. 9.8.7.6
D. 10.9.8.7.6.5

Answer 1

The question is about arranging 6 people in a row from a group where one must be included, and the answer is the product of the descending number of choices for the 5 remaining spots, which is B. 6.9.8.7.6.5.

Step-by-step explanation:

The question deals with a combinatorics problem in mathematics, specifically permutations with restrictions. To determine in how many ways a photographer at a wedding can arrange 6 people in a row from a group of 10 people when one specific person must be included in the picture, we can use the following steps:

1. Jessie must be in the picture, so we have 1 spot that is already filled. This leaves us with 5 spots to fill.
2. There are 9 people left to choose from for the first open spot (since one person is already in the picture).
3. After that, there are 8 people to choose from for the second spot, then 7 for the third, 6 for the fourth, and 5 for the fifth.
4. Therefore, we multiply the number of choices for each spot together: 9 x 8 x 7 x 6 x 5.

The answer to the question is B. 6.9.8.7.6.5, which represents the descending number of choices for each of the 5 remaining spots, after accounting for Jessie being in the picture.