The Great Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer, and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions

Number of different ways of filling the position is   8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways  

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is  

50P16 /(12! *4!)

= 8961115245946500