At a particular pizza shop, a pizza can be created from any combination of 6 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?  Answers
A) 6	B) 35	C) 120	D) 450	E) 900
Number of possible ways to select 1 type of spice = 6c1 = 6   Number of possible ways to select 2 types of cheese = 4c2 = 6   Number of possible ways to select 4 types of meat but without pepperoni and anchovies together   = Total number of ways without any restriction - Total number of ways in which pepperoni and anchovies together   = 7c4 - 5c2   =35 - 10= 
<gadget id="calculator">35 - 10</gadget>
<output>25</output>
25   Possible ways to garnish the pizza are available to the customer= 6*6 * 25= 
<gadget id="calculator">6*6 * 25</gadget>
<output>900</output>
900   Answer 900
<result>E</result>
At a particular pizza shop, a pizza can be created from any combination of 6 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?