1
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1
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Let A be a matrix of order 2 $$\times$$ 2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the number of such matrices A is ___________.

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2
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
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The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is _____________.

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3
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
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The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.

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4
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1
Change Language

There are ten boys B1, B2, ......., B10 and five girls G1, G2, ........, G5 in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1 and B2 together should not be the members of a group, is ___________.

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