A teacher prepares a test. She gives 8 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 5 questions have 3 choices and the last 3 have 4 choices.  Answers.
A) 6255	B) 5280	C) 5192	D) 5100	E) 5144
Two cases.   First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices   5C2 * 3C2 ways to select the questions   3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions   = 10 * 3 * 3 * 3 * 4 * 4= 
<gadget id="calculator">10 * 3 * 3 * 3 * 4 * 4</gadget>
<output>4_320</output>
4320   Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices   5C1 * 3C3 ways to select the questions   3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions= 5 * 1 * 3 * 4 * 4 * 4= 
<gadget id="calculator">5 * 1 * 3 * 4 * 4 * 4</gadget>
<output>960</output>
960   Total= 4320 + 960= 
<gadget id="calculator">4320 + 960</gadget>
<output>5_280</output>
5280   5280
<result>B</result>
A teacher prepares a test. She gives 8 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 5 questions have 3 choices and the last 3 have 4 choices.