A teacher prepares a test. She gives 6 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 3 questions have 3 choices and the last 3 have 4 choices.  Choose the correct choice from the following.
A) 255 B) 1816 C) 1872 D) 100 E) 144
Two cases.   First 1872ase: 2 Questions - 3 1872hoices, 2 Questions - 4 1872hoices   318722 * 318722 ways to select the questions   318721 * 318721 * 418721 * 418721 ways to answer the questions   = 3 * 3 * 3 * 3 * 4 * 4= 
<gadget id="calculator">3 * 3 * 3 * 3 * 4 * 4</gadget>
<output>1_296</output>
1296   Second 1872ase: 1 Question - 3 1872hoices, 3 Questions - 4 1872hoices   318721 * 318723 ways to select the questions   318721 * 418721 * 418721 * 418721 ways to answer the questions= 3 * 1 * 3 * 4 * 4 * 4= 
<gadget id="calculator">3 * 1 * 3 * 4 * 4 * 4</gadget>
<output>576</output>
576   Total= 1296 + 576= 
<gadget id="calculator">1296 + 576</gadget>
<output>1_872</output>
1872   1872
<result>C</result>
A teacher prepares a test. She gives 6 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 3 questions have 3 choices and the last 3 have 4 choices.