Multiple choice

In an examination, a student has to answer 4 questions out of 6. Questions 1 and 2 are, however, compulsory. The number of ways in which the students can make the choice is

  1. 3

  2. 6

  3. 5

  4. 4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total questions = 6. Must answer 4. Questions 1 and 2 are compulsory, so we must choose 2 more from the remaining 4 questions. Number of ways = 4C2 = (4 * 3) / 2 = 6.

AI explanation

Since questions 1 and 2 are compulsory, the student must choose the remaining 2 questions out of the other 4 questions. Using the combinations formula for selecting 2 items from 4, we calculate 4C2. The calculation is 4 factorial divided by the product of 2 factorial and 2 factorial, which equals 6.

Keep practicing — related questions