Find the number of seating arrangements of eight basketball players on a bench if either the one centre or both of the two forwards must sit at the end where the coach always sits.

Answer 1

case1 : place the centre at the end
number of ways = 1 x 7! = 5040

case2: the two forwards are at the ends
number of ways = 2 x 6! = 1440

total number of ways = 5040+1440 = 6480