Skip to content
Related Articles

Related Articles

QA – Placement Quizzes | Permutation and Combination | Question 9
  • Last Updated : 07 Sep, 2016
GeeksforGeeks - Summer Carnival Banner

Out of 7 boys and 4 girls, how many queues of 3 boys and 2 girls can be formed?
(A) 120
(B) 25200
(C) 24800
(D) 1440


Answer: (B)

Explanation: Number of ways to choose 3 boys out of 7 = 7C3.
Number of ways to choose 2 girls out of 4 = 4C2.
Therefore, number of ways to choose the required groups = 7C3 * 4C2 = 35 * 6 = 210.
Number of ways to arrange the 3 boys and 2 girls in a queue = 5! = 120.
Therefore, the required number of queues = 210 * 120 = 25200.

Quiz of this Question
Please comment below if you find anything wrong in the above post

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up
Recommended Articles
Page :