<span>The first movie can be any of 14 </span> <span>As you have already seen one the second movie can be any of the 13 remaining </span> <span>As you have already seen two the third movie can be any of the 12 remaining. </span>
<span>Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. </span> <span>However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. </span> <span>eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. </span> <span>For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. </span> <span>Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. </span> <span>2184 / 6 = 364</span>
