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MathematicsMatrixGeneralHard2 minPYQ_2021
MathematicsHardnumerical

LetMbe any3×3matrix with entries from the set0,1,2. The maximum number of such matrices, for which the sum of diagonal elements ofMTMis seven, is______.

Answer:
540.00
Solution:

abcdefghiadgbehcfi

a2+b2+c2+d2+e2+f2+g2+h2+i2=7

Case-I : Seven 1's and two 0's

C29=36

Case-II: One 2 and three 1's and five 0's

9!5!3!=504

 Total =540

Stream:JEESubject:MathematicsTopic:MatrixSubtopic:General
2mℹ️ Source: PYQ_2021

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