Home
Class 12
MATHS
Let X""=""{1,""2,""3,""4,""5} . The numb...

Let `X""=""{1,""2,""3,""4,""5}` . The number of different ordered pairs (Y, Z) that can be formed such that `YsubeX ,""ZsubeX` and `YnnZ` is empty, is (1) `5^2` (2) `3^5` (3) `2^5` (4) `5^3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|9 Videos
  • PROBABILITY

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|16 Videos

Similar Questions

Explore conceptually related problems

Let X={1,2,3,4,5). The number of different ordered pairs (Y,Z) that can formed such that Y sube X,Z sube X and Y nn Z is empty is

2.The number of ordered pair(s) (x,y) satisfying y=2sin x and y=5x^(2)+2x+3 is equal to- (1)0(2)1(3)2(4)oo

Simplify: (15x^(5)y^(-2)z^(4))/(5x^(3)y^(-3)z^(2))

Let A={1,2,3},B={4,5} and R={(2,4),(2,5),(3,5)}. Represent R in the following form: Arrow diagram

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

Arrange the following words as per order in the dictionary. 1. Fraudulent 2. Fraught 3. Fraternity 4. Franchise 5. Frantic (A) 5,4,1,2,3 (B) 4,5,3,1,2 (C) 4,3,5,1,2 (D) 3,4,5,2,1

Let X = { 1, 2, 3} and Y= {4, 5}. Find whether the following subsets of X xx Y are functions from X to Y or not. (i) f = {(1, 4), (1, 5), (2, 4), (3, 5)} (ii) g = {(1, 4), (2, 4), (3, 4)} (iii) h = {(1, 4), (2, 5), (3, 5) } (iv) k = {(1, 4), (2, 5)}