QA – Placement Quizzes | Permutation and Combination | Question 11
Out of 6 engineers and 4 doctors, how many groups of 4 professionals can be formed such that at least 1 engineer is always there?
Explanation: There are four cases:
- 4 engineers = 6C4 = 15
- 3 engineers and 1 doctor = 6C3*4C1 = 20*4 = 80
- 2 engineers and 2 doctors = 6C2*4C2 = 15*6 = 90
- 1 engineer and 3 doctors = 6C1*4C3 = 24
Therefore, total number of ways = 15 + 80 + 90 + 24 = 209.
Quiz of this Question
Please comment below if you find anything wrong in the above post
Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses
are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!