Question

Ten members of a wedding party are lining up in a row for a photograph.

Answer 1

Answer:

(a) 725760 ways

(b) 3265920 ways

(c) 2903040 ways

Explanation:

Part (a):

As there are 10 people in total so there will be total ways to line up = 10!

Now it is the condition that bride and groom must be next to each other so we will count them as one entity, the remaining ways will be = 9!

As the bride and groom can swap there places so the number of ways will become = 9! * 2

Number of ways = 362880 * 2 = 725760 ways

Part (b):

Now set the groom to leftmost position: 9! (as one person is fixed)

When groom is not in left most position = 10! - 9! = 3265920 ways

Part (c):

when the groom is not at end, this means neither he should be on right nor on left so, this could be calculated as = 10! - 2* 9! = 2903040 ways

i hope it will help you!