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1
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1 English
Hindi

Let b1b2b3b4 be a 4-element permutation with bi $$\in$$ {1, 2, 3, ........, 100} for 1 $$\le$$ i $$\le$$ 4 and bi $$\ne$$ bj for i $$\ne$$ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1b2b3b4 is equal to ____________.

2
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1 English
Hindi

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 _____________.

3
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1 English
Hindi

The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.

4
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1 English
Hindi
Bengali

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 ___________.