1
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A $$\to$$ A such that f(1) + f(2) = 3 $$-$$ f(3) is equal to
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2
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers greater than 10,000 is equal to _____________.
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3
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Let $$A = \left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$. Then the number of 3 $$\times$$ 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ____________.
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4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Consider the following frequency distribution :

Class : 0-6 6-12 12-18 18-24 24-30
Frequency : $$a $$ $$b$$ 12 9 5

If mean = $${{309} \over {22}}$$ and median = 14, then the value (a $$-$$ b)2 is equal to _____________.
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