Home
Class 12
MATHS
Let A = {a, b, c, d}. The number of inve...

Let A = {a, b, c, d}. The number of invertible functions `f: A to A` satisfying the following conditions:
`f(d) = d, f(a) ne a, f(b) ne b` is…………

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT -BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS) )|45 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|24 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

Let A={1,2,3,4}. The number of functions f:A rarr A satisfying f(f)=1 for all 1<=i<=4 is (A) 1( B) 6(C)9(D)10

A=(a,b,c,d,e,f);B=(x,y,z:u) then total number of onto functions f:A rarr B possible are

Let A= {a, b, c,d} and B ={b,d,f,g} . Find A Delta B .

f and g differentiable functions of x such that f(g(x))=x," If "g'(a)ne0" and "g(a)=b," then "f'(b)=

Let f be a differential function satisfying the condition. f((x)/(y))=(f(x))/(f(y))"for all "x,y ( ne 0) in R"and f(y) ne 0 If f'(1)=2 , then f'(x) is equal to

Find the number of 6 digit numbers of the form abcdef if the digits satisfy the condition a+b+c+d+e+f=a^(2)+b^(2)+c^(2)+d^(2)+e^(2)+f^(2)

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )
  1. Let A and B be two finite sets and let P(A) and P(B) respectively deno...

    Text Solution

    |

  2. Suppose f: R -{5//3} to R - {5//3} is given by f(x) = (5x+a)/(3x-5). I...

    Text Solution

    |

  3. Suppose f:[1,infty) to [1, infty) is defined by f(x) = 1/2(1+ sqrt(1+4...

    Text Solution

    |

  4. Let f: R - {0} to R be defined by f(x) = x+ 1/x, then 7 + f((x))^(4...

    Text Solution

    |

  5. If A = {a, b, c, d}, then the number of functions on the set A which a...

    Text Solution

    |

  6. Suppose A and B are two sets such that A contains 5 elements and B - A...

    Text Solution

    |

  7. Suppose P{S) denote the power set of the set S. Let A = {1}. If the nu...

    Text Solution

    |

  8. Let g(x) = x^(2) + x -1 AA x in R and (gof)(x) = 4x^(2) + 10 x + 5 AA ...

    Text Solution

    |

  9. Let X = {n in N :1 le n le 50}. If A = {n in X: " n is a multiple of 2...

    Text Solution

    |

  10. Let S be the set of all real roots of the equation,3^(x)(3^(x)-1)+2=|3...

    Text Solution

    |

  11. Let W = N cup {0}. Suppose f : W to W is a function such that f(0)=0, ...

    Text Solution

    |

  12. Let S = {1, 2, 3, 4, 5}. The number of ordered pairs of subsets (A, B)...

    Text Solution

    |

  13. The number of equivalence relations that can be defined on set {a, b, ...

    Text Solution

    |

  14. Let A = {a, b, c, d}. The number of invertible functions f: A to A sat...

    Text Solution

    |

  15. Define f: R to R by f(x) = (sin^(2)x + cos^(4)x)/(cos^(2)x + sin^(4)...

    Text Solution

    |

  16. For x in R -{-1/n, n in N}, define f(x) = lim(n to infty)(x/(x+1) + x/...

    Text Solution

    |

  17. If f(x)=(a^x+a^(-x))/2 and f(x+y)+f(x-y)=kf(x)f(y) then k=

    Text Solution

    |

  18. Let f,g : R to R be defined by f(x) = (x-2)|x-2| AA x in R g(x) = s...

    Text Solution

    |

  19. Define f : R to R by f(x) = 4 cos^(4)((x-pi)/(4pi^(2))) - 2 cos((x-p...

    Text Solution

    |

  20. Let f(x) =1/x, g(x) = 1/(9x^(2)-1) and h(x) = (11x)/(x+3) be three fun...

    Text Solution

    |