At Dora's Donut Shop, Dora makes 15 different varieties of donuts. Seven of these varieties are filled with jelly or cream. Officer Sweetooth was sent to Dora's shop to choose a dozen donuts, all different, with six filled and six unfilled. How many different assortments might he choose?

Question

At Dora's Donut Shop, Dora makes 15 different varieties of donuts.  Seven of these varieties are filled with jelly or cream.  Officer Sweetooth was sent to Dora's shop to choose a dozen donuts, all different, with six filled and six unfilled.  How many different assortments might he choose?

scott · Answer

unfilled ... 8C6 filled ... 7C6 different assortments ... 8C6 * 7C6