The numbers 1 through 14 (inclusive) are written on the chalkboard. Ms. Q. took the product of 13 of the 14 numbers. How many different products could she get?
14 different products
To see this.....note that we are omitting one of the numbers each time
So.....the products are
14! / 1 , 14! / 2 , 14! / 3 ........ 14! / 12 , 14!/ 13 , 14! / 14 = 14 different products