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MathsMediumNumerical2022 ยท 29 Jul Shift 1

Q88.The number of matrices of order 3 ร— 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _______.

What This Question Tests

This problem involves finding the number of ways to place 0s and 1s in a 3x3 matrix such that the sum of all entries is a prime number, requiring knowledge of combinations.

Concepts Tested

Counting combinationsPrime numbers

Formulas Used

nCr = n! / (r! * (n-r)!)

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Counting Matrices
Year
2022
Shift
29 Jul Shift 1
Q Number
Q88
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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