In how many ways can an answer key for a quiz be written if the quiz contains 4 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?	Choose the correct choice from the following choices.
A) 120	B) 190	C) 224	D) 298	E) 256
There are 2^4 = 16 possibilities for the true-false answers.   However we need to remove two cases for TTTT and FFFF.   There are  4*4= 
<gadget id="calculator"> 4*4</gadget>
<output>16</output>
16 possibilities for the multiple choice questions.   The total number of possibilities is  14*16= 
<gadget id="calculator"> 14*16</gadget>
<output>224</output>
224.   The answer is 224.
<result>C</result>
In how many ways can an answer key for a quiz be written if the quiz contains 4 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?