A teacher prepares a test. She gives 9 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 6 questions have 3 choices and the last 3 have 4 choices. Pick: A) 7255 B) 7632 C) 7192 D) 7100 E) 7144
Two cases.   First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices   6C2 * 3C2 ways to select the questions   3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions   = 15 * 3 * 3 * 3 * 4 * 4= 
<gadget id="calculator">15 * 3 * 3 * 3 * 4 * 4</gadget>
<output>6_480</output>
6480   Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices   6C1 * 3C3 ways to select the questions   3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions= 6 * 1 * 3 * 4 * 4 * 4= 
<gadget id="calculator">6 * 1 * 3 * 4 * 4 * 4</gadget>
<output>1_152</output>
1152   Total= 6480 + 1152= 
<gadget id="calculator">6480 + 1152</gadget>
<output>7_632</output>
7632   7632
<result>B</result>
A teacher prepares a test. She gives 9 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 6 questions have 3 choices and the last 3 have 4 choices.