Home  >  Quantitative Aptitude and Numerical Ability For Competitive Examinations  >  Permutation and Combination

A committee of five members is to be formed out of 3 trainees - 4 professors and 6 research associates. In how many different ways this can be done if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors?

🎲 Try a Random Question  |  Total Questions in Quiz: 56  |  🧠 Study this quiz with Flashcards
This question is part of a full practice quiz:
Permutation and Combination — practice the complete quiz, review flashcards, or try a random question.
🧠 Flashcards (fast review) 🧪 Practice Quiz ⚔️ Challenge a Friend 🥊 📊 View Stats

A committee of five members is to be formed out of 3 trainees - 4 professors and 6 research associates. In how many different ways this can be done if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors?






 
❤ If you liked Fatskills, consider supporting us by checking out The Life Manuals You Never Got.

🌈  Our mission is to help improve your scores in any subject and exam withonline quizzes, practice tests, study guides, & advice for students. Since 2018.
About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | What Should We Know?
Privacy | Terms |
Without work one finishes nothing. - Ralph Waldo Emerson
© 2026 Fatskills.com

All trademarks, logos and brand names are the property of their respective owners. All company, product and service names used in this website are for identification purposes only. Use of these names, trademarks and brands does not imply endorsement.