A sandwich of 6 ingredients is made from 4 types of meat and 8 types of cheese. The sandwich must have at least 1 type of meat and at least 2 types of cheese. How many ways can this plate be made?  Choose the correct option:	A) 896	B) 196	C) 890	D) 300	E) 292
Solution: We have four possibilities 4M 2C , 3M 3C, 2M 4C, 1M 5C   (4C4)(8C2)+(4C3)(8C3)+(4C2)(8C4)+(4C1)(8C5)=896   896) 896
<result>A</result>
A sandwich of 6 ingredients is made from 4 types of meat and 8 types of cheese. The sandwich must have at least 1 type of meat and at least 2 types of cheese. How many ways can this plate be made?