Tutorial Question 1 Permutations & Combinations
Tutorial Question 1 Permutations & Combinations
A space station commander is assigning docking bays for a fleet of 12 distinct starships. The fleet consists of 5 fighters, 4 cruisers, and 3 scouts. The docking bays are arranged in a single straight line.
Find the number of different ways the commander can arrange the ships if
(a)
there are no restrictions,
(b)
all the fighters must be docked next to each other,
(c)
no two scouts can be docked next to each other.