A student is to answer 10 out of 13 questions in an examination such that he…
2024
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is -
- A.
280
- B.
140
- C.
346
- D.
196
Attempted by 19 students.
Show answer & explanation
Correct answer: D
Correct answer: 196
Case 1 — Choose exactly 4 from the first five and 6 from the remaining 8: combinations = C(5,4) * C(8,6) = 5 * 28 = 140.
Case 2 — Choose all 5 from the first five and 5 from the remaining 8: combinations = C(5,5) * C(8,5) = 1 * 56 = 56.
Total number of choices = 140 + 56 = 196.