Home
Class 12
MATHS
If set A={1, 2, 3, ?2, }, then the find ...

If set `A={1, 2, 3, ?2, }`, then the find the number of onto functions from `A` to `A` such that `f(k)` is a multiple of 3, whenever `k` is a multiple of 4. (A) `6^5xx15!` (B) `5^6xx15!` (C) `6!xx5!` (D) `6!xx15!`

A

`(15)! xx 6!`

B

`5^(6)xx15`

C

`5! Xx 6!`

D

`6^(5) xx (15)!`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE ENGLISH|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos
  • LIMITS

    CENGAGE ENGLISH|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

If set A={1, 2, 3, ...,20 } , then the find the number of onto functions from A to A such that f(k) is a multiple of 3, whenever k is a multiple of 4. (A) 6^5xx15! (B) 5^6xx15! (C) 6!xx5! (D) 6!xx15!

Let A={1,2,3},B=4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function from A to B. Show that f is one - one but not onto.

If A={1,2,3,4,5}, B={1,2,3,6,7} and C{8}, then find (A-B) xx C .

Multiply: f. 6 (2)/(5) xx (15)/(64)

If A = {2, 3, 5}, B = {2, 5, 6}, then (A - B) xx (AnnB) is

Find the number from each of the following expanded forms : , (a) 8 xx 10^4 + 6 xx 10^3 + 0 xx 10^2 + 4 xx 10^1 + 5 xx 10^0 , (b) 4 xx 10^5 + 5 xx 10^3 + 3 xx 10^2 + 2 xx 10^0 , (c) 3 xx 10^4 + 7 xx 10^2 + 5 xx 10^0

The probability that a number selected at random from the numbers 1,\ 2,\ 3,\ dot,\ 15 is a multiple of 4, is 4/(15) (b) 2/(15) (c) 1/5 (d) 1/3

Multiply and express as a mixed fraction : (a) 3 xx 5 1/5 (b) 5 xx 6 3/4 (c) 7 xx 2 1/4 (d) 4 xx 6 1/3 (e) 3 1/4 xx 6 (f) 3 2/3 xx 8

Simplify : ( 16 xx 10 ^(4) xx 3^(3))/( 6^(5) xx 5^(6))

CENGAGE ENGLISH-JEE 2019-MCQ
  1. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |

  2. The number of natural numbers less than 7,000 which can be formed by u...

    Text Solution

    |

  3. If set A={1, 2, 3, ?2, }, then the find the number of onto functions f...

    Text Solution

    |

  4. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  5. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

    Text Solution

    |

  6. Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x +...

    Text Solution

    |

  7. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  8. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  9. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  10. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  11. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  12. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  13. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  14. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  15. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  16. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  17. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  18. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  19. If ""^(n)C(4),""^(n)C(5) and ""^(n)C(6) are in A.P. then the value of ...

    Text Solution

    |

  20. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |