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Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then t...

Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions `f : A rarr A` such that `ƒ(1) + ƒ(2) = 3 – ƒ(3)` is equal to

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Knowledge Check

  • Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions from E to F is

    A
    14
    B
    16
    C
    6
    D
    4

  • Let E = {1,2,3,4} and F {1,2}. Then the number of onto functions from E to F is

    A
    14
    B
    16
    C
    6
    D
    4

  • Let E=(1,2,3,4) and F-(1,2) . Then the number of onto functions from E to F is:

    A
    14
    B
    16
    C
    12
    D
    8
    • JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
    1. Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functio...

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    2. If the digits are not allowed to repeat in any number formed by using ...

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    3. Let A = [[0,1,0],[1,0,0],[0,0,1]]. Then the number of 3 xx 3 matrices ...

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    4. Consider the following frequency distribution : {:("Class :",0-6,6-1...

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    5. The sum of all the elements in the set {n in {(1, 2, ……., 100} | H.C.F...

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    6. The area (in sq. units) of the region bounded by the curves x^(2) + 2y...

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    7. Let f : R rarr R be a function defined as f(x) = {{:(3(1-(|x|)/(2))...

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    8. If the constant term, in binomial expansion of (2x^(r) + (1)/(x^(2)))^...

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    9. Let y = y(x) be the solution of the differential equation ((x+2)e^(((y...

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    10. The number of elements in the set {n in {1, 2, 3,…, 100} | (11)^(n) gt...

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    11. Let n in N and [x] denote the greatest integer less than or equal to ...

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    12. Consider the function {:( f(x) (P(X))/(sin (x-2)), x ne 2 ),(=7,x=2)...

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    13. Equation of circle Re(z^2)+2(img(z))^2+2Re(z)=0 where z=x+iy .A line p...

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    14. If a rectangle is inscribed in an equilateral triangle of side length ...

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    15. If (veca + 3 vecb) is perpendicular to ( 7 veca - 5 vecb) and ...

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    16. Let a curve y = f(x) pass through the point (2, (loge 2)^2) and have...

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    17. If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4...

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    18. A coin is tossed n times, if the probability of getting at least one h...

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    19. If the coefficients of x^(7) and x^(8) in the expansion of (2+(x)/(3))...

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    20. If the lines (x-k)/(1) = (y-2)/(2) = (z-3)/(3) and (x+1)/(3) = (y ...

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