Home
Class 12
MATHS
The number of functions from f:{a(1),a(2...

The number of functions from `f:{a_(1),a_(2),...,a_(10)} rarr {b_(1),b_(2),...,b_(5)}` is

A

`10^(5)`

B

`5^(10)`

C

`(10!)/(5!)`

D

5!

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

It is given that A and B are two sets of real numbers A={a_(1),a_(2),a_(3),...,a_(100)} and B={b_(1),b_(2)...b_(50)}. If f:A rarr B is such that every element in B has an inverse image and f(a_(1))<=f(a_(2))<=......<=f(a_(100)), then the number of such mapping is :

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is

The total number of injections (one-one and into mappings) form {a_(1),a_(2),a_(3),a_(4)} to {b_(1),b_(2),b_(3),b_(4),b_(5),b_(6),b_(7)} is

If a and b are distinct positive real numbers such that a, a_(1), a_(2), a_(3), a_(4), a_(5), b are in A.P. , a, b_(1), b_(2), b_(3), b_(4), b_(5), b are in G.P. and a, c_(1), c_(2), c_(3), c_(4), c_(5), b are in H.P., then the roots of a_(3)x^(2)+b_(3)x+c_(3)=0 are

Suppose four distinct positive numbers a_(1),a_(2),a_(3),a_(4) are in G.P.Let b_(1)=a_(1),b_(2)=b_(1)+a_(2)*b_(3)=b_(2)+a_(3) and b_(4)=b_(3)+a_(1)

Suppose four distinct positive numbers a_(1),a_(2),a_(3),a_(4) are in G.P. Let b_(1)=a_(1)+,a_(b)=b_(1)+a_(2),b_(3)=b_(2)+a_(3)andb_(4)=b_(3)+a_(4) . Statement -1 : The numbers b_(1),b_(2),b_(3),b_(4) are neither in A.P. nor in G.P. Statement -2: The numbers b_(1),b_(2),b_(3),b_(4) are in H.P.

Let A={a_(1),a_(2),a_(3),a_(4),a_(5)}andB={b_(1),b_(2),b_(3),b_(4)} , when a_(l)'s and b_(l)'s are school going students. Define a relation from a set A to set B by x R y iff y is a true friend of x. If R={(a_(1),b_(1)),(a_(2),b_(1)),(a_(3),b_(3)),(a_(4),b_(2)),(a_(5),b_(2))} Is R a bijective function?

Let a_(1), a_(2), a_(3)... be a sequance of positive integers in arithmetic progression with common difference 2. Also let b_(1),b_(2), b_(3)...... be a sequences of posotive intergers in geometric progression with commo ratio 2. If a_(1)=b_(1)=c_(2) . then the number of all possible values of c, for which the equality. 2(a_(1)+a_(2).+.....+a_(n))=b_(1)+b_(2)+....+b_(n) holes for same positive integer n, is