M mittfull New member Joined Mar 29, 2021 Messages 2 Mar 29, 2021 #1 In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other?
In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other?
D Deleted member 4993 Guest Mar 29, 2021 #2 mittfull said: In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other? Click to expand... Think similar (not the same) way as; Question In how many different ways can a set of nine books be arranged on a shelf so that volumes one, two, and three are beside one another? www.freemathhelp.com
mittfull said: In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other? Click to expand... Think similar (not the same) way as; Question In how many different ways can a set of nine books be arranged on a shelf so that volumes one, two, and three are beside one another? www.freemathhelp.com
Steven G Elite Member Joined Dec 30, 2014 Messages 14,603 Mar 30, 2021 #3 12! would include the times when the two are allowed to stand together. So subtract those off. That is, in how many ways can the two stand together?
12! would include the times when the two are allowed to stand together. So subtract those off. That is, in how many ways can the two stand together?
