Home Maths Matrices and Determinants JEE Main 2023 - ( Matrices ) The number of square matrices of order 5 wit…
Maths Matrices and Determinants JEE Main 2023 - ( Matrices ) Single Correct MCQ
Published on: August 14, 2026

The number of square matrices of order 5 with entries from the set , such that the sum of all the elements in each row is 1 and the sum of the all the elements in each column is also 1, is

A
225
B
120
C
150
D
125

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
B

In each row and each column exactly one is to be placed

No, of such materials

Alternate:

Step -1 : Select any 1 place for 1 ’ s in row 1. Automatically some column will get filled with 0 ’ s

Step – 2 : From next now select 1 place for 1’s automatically some column will get filled with 0’s

Each time one less place will be available for putting 1 ’ s

Repeat step-2 till last row.

Req. ways =

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

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.