If the set A contains 7 elements and the set B contains 10 elements, then the number of one-one functions from A to B is

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

One-to-One (Injective) Function | PadhAiPro

Question

MCQ (Single)One-to-One (Injective) Function

Similar Questions

A function f is defined from R → R as f(x) = ax + b, such that f(1) = 1 and f(2) = 3. Find function f(x). Hence, check whether function f(x) is one-one and onto or not.

TextOne-to-One (Injective) FunctionOnto (Surjective) Function

Let f : R+ → [– 5, ∞) be defined as f(x) = 9x² + 6x – 5, where R+ is the set of all non-negative real numbers. Then, f is :

MCQ (Single)

One-to-One (Injective) Function

Onto (Surjective) Function

Bijective Function

Let A = R – {5} and B = R – {1}. Consider the function f : A → B, defined by f(x) = (x – 3)/(x – 5). Show that f is one-one and onto.

TextOne-to-One (Injective) FunctionOnto (Surjective) Function

A function f : ℝ → ℝ defined as f(x) = x² - 4x + 5 is :

MCQ (Single)One-to-One (Injective) FunctionOnto (Surjective) Function

A function f: [-4, 4] → [0, 4] is given by f(x) = √(16 - x²). Show that f is an onto function but not a one-one function. Further, find all possible values of 'a' for which f(a) = √7.

TextOne-to-One (Injective) FunctionOnto (Surjective) Function

Let f : ℝ - {-4/3} → ℝ be a function defined as f(x) = 4x/(3x + 4). Show that f is a one-one function. Also, check whether f is an onto function or not.

TextOne-to-One (Injective) FunctionOnto (Surjective) Function