Question

The range of function 

Solution

Correct option is

{0, 1, 2, 3}

For  to be defined, we must have 7 – x ≥ 1 and x – 3 ≥ 0.  

    

   

Now,    

             

∴ range of f = {0, 1, 2, 3}.

SIMILAR QUESTIONS

Q1

The number of subsets of the set A = {a1a2, … an} which contain even number of elements is

Q2

The number of ways in which we can post 5 letters in 10 letter boxes is

Q3

The number of five digit telephone numbers having at least one of their digits repeated is

Q4

Let P be a prime number such that P  23. Let n = p! + 1. The number of primes in the list n + 1, n + 2, n + 3, … n + p – 1 is

Q5

The term digit of 1! + 2! + 3! + … + 49! Is

Q6

Four dice are rolled. The number of possible outcomes in which least one die shows 2 is

Q7

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen. The number of ways of choosing P and Q so that P  Q = Ï• is

Q8

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

Q9

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

Q10

The number of ways of arranging letters of the word RACHIT so that the vowels are in alphabetical order is