In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?  Choose the correct choice from the following options.
A) 24  B) 48  C) 96  D) 64  E) none
Solution:   5 questions can be selected in the following ways,   2 question from first group and 3 question from second group Or 3 question from first group and 2 question from second group.   (4C2 * 4C3) +(3C4 *2C4),   = 24 +24= 
<gadget id="calculator">24 +24</gadget>
<output>48</output>
48   Answer: Option 48
<result>B</result>
In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?