Question

In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if a) the bride must be in the picture

Answer 1

90720ways

Explanation:

Permutation has to do with arrangement

First we need to find the number of ways 6 people can be arranged in a row from a group of 10people using the formula

(10-1)P(6-1) = 9P5

9P5= 9!/(9-5)!

9P5 = 9×8×7×6×5×4!/4!

9P5 = 9×8×7×6×5

9P5 = 15,120

Since there is restriction that the bride must be in the picture (the bride is just a person and cam be placed at any point along the row). Hence the number of different ways the bride can be placed is 6 different ways

Hence, the number of ways a photographer at a wedding arrange 6 people in a row from a group of 10 people if the bride must be in the picture is 6×15120 = 90,720

Hence the correct answer is 90720 ways