Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 × 2 matrices. The probability that such formed matrix have all different entries and are non-singular, is:

Statistics and Probability: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q4984

JEE Main 202122 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2

\times

2 matrices. The probability that such formed matrix have all different entries and are non-singular, is :

JEE Main 2021 · 22 Jul, Evening shift · Q4984

JEE Main 202122 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2

\times

2 matrices. The probability that such formed matrix have all different entries and are non-singular, is :