Question

A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is

• A. 196
• B. 280
• C. 346
• D. 140

Answer 1

The correct option is A 196

Pattern in which he can answer the question is,
A B
5 5
4 6
Hence total number of ways is ${=}^5{C}_5.{}^8{C}_5{+}^5{C}_{4.}.{}^8{C}_6=196$