1
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1
Change Language

The number of one-one functions f : {a, b, c, d} $$\to$$ {0, 1, 2, ......, 10} such

that 2f(a) $$-$$ f(b) + 3f(c) + f(d) = 0 is ___________.

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2
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
Change Language
Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S $$\to$$ S
such that f(m . n) = f(m) . f(n) for every m, n $$\in$$ S and m . n $$\in$$ S is equal to _____________.
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3
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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4
JEE Main 2021 (Online) 18th March Evening Shift
Numerical
+4
-1
Change Language
If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(1) is equal to ___________.
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