Maths Permutations & Combination Fundamental Principle of Counting, Problem Based on Selection of Given Object & Arrangement of Given Object. Subjective Type
Published on: August 13, 2026

There are nine students (5 boys & 4 girls) in the class. In how many ways

(i)One student (either girl or boy) can be selected to represent the class.

(ii)A team of two students (one girl & one boy) can be selected.

(iii)Two medals can be distributed. (no one get both)

(iv)One prize for Maths, two prizes for Physics and three prizes for Chemistry can be distributed.

(No student can get more than one prize in same subject & prizes are distinct)

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(i)9 (ii)20 (iii)72 (iv)326592

Sol. (i) 5 + 4 = 9

(ii) 5 × 4 = 20

(iii) 9 × 8 = 72

(iv) 9 (9 × 8) (9 × 8 × 7) = 326592

──────────────────────────────────────────────────────────────────────────────────────────

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.