At a particular pizza shop, a pizza can be created from any combination of 7 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?  Choose the correct answer:
A) 6  B) 35  C) 120  D) 450  E) 1050
Number of possible ways to select 1 type of spice = 7c1 = 7   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= 7*6 * 25= 
<gadget id="calculator">7*6 * 25</gadget>
<output>1_050</output>
1050   Answer 1050
<result>E</result>
At a particular pizza shop, a pizza can be created from any combination of 7 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?