# A display of lollies is to be designed In how many ways can 10 different PACKETS OF LOLLIES be hung on a circular display? If 3 packets of lollies are to be together, how many arrangements are...

A display of lollies is to be designed

In how many ways can 10 different PACKETS OF LOLLIES be hung on a circular display?

If 3 packets of lollies are to be together, how many arrangements are possible on a circular display?

lilian-0716 | Student | (Level 1) Salutatorian

Posted on

2nd part : Since three lolies packets are to be together ,

no of arrangements should be : 7! ( three packets will be togethers, so there are 8 items to move) x 3!( three packets can be arranged 3x2x1)  >>>> 7! x3! should be the answer,

where I am wrong in this approach

lilian-0716 | Student | (Level 1) Salutatorian

Posted on

Can you please explain the second part how do did it in detailso that I can understand better. Why it is 9! , not 10! for first part of question?

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

1. In how many ways can 10 different PACKETS OF LOLLIES be hung on a circular display?

When hung in circular  taking all at  a time then possible arrangement= 9! =362880

2. If 3 packets of lollies are to be together, how many arrangements are possible on a circular display?

When 3 packets of lollies are taken together =(2x3)P(10,3)

=6P(10,3)

= 4320