A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices. Choose the correct choice from the following options:	A) 255	B) 816	C) 192	D) 100	E) 144
Two cases.   First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices   2C2 * 3C2 ways to select the questions   3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions   = 1 * 3 * 3 * 3 * 4 * 4   = 27 * 16= 
<gadget id="calculator">27 * 16</gadget>
<output>432</output>
432   Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices   2C1 * 3C3 ways to select the questions   3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions= 2 * 1 * 3 * 4 * 4 * 4   = 6 * 64= 
<gadget id="calculator">6 * 64</gadget>
<output>384</output>
384   Total= 384 + 432= 
<gadget id="calculator">384 + 432</gadget>
<output>816</output>
816   ANS:816
<result>B</result>
A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.