A teacher prepares a test. She gives 7 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 5 have 4 choices.	Choose the correct choice from the following answers:	A) 4255	B) 5280	C) 1920	D) 1000	E) 4144
Two cases.   First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices   2C2 * 5C2 ways to select the questions   3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions   = 1 * 10 * 3 * 3 * 4 * 4= 
<gadget id="calculator">1 * 10 * 3 * 3 * 4 * 4</gadget>
<output>1_440</output>
1440   Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices   2C1 * 5C3 ways to select the questions   3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions= 2 * 10 * 3 * 4 * 4 * 4= 
<gadget id="calculator">2 * 10 * 3 * 4 * 4 * 4</gadget>
<output>3_840</output>
3840   Total= 3840 + 1440= 
<gadget id="calculator">3840 + 1440</gadget>
<output>5_280</output>
5280   5280
<result>B</result>
A teacher prepares a test. She gives 7 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 5 have 4 choices.