Question

# The number of many one functions from is

- 64
- 24
- 40
- 0

Hint:

### In this question, the number of onto functions that can be defined from A= {1, 2, 3} and B= {a, b, c, d}. Formula to find the number of onto functions from set A to set B We have to find the number of onto functions from a set A with n number of elements to set B with m number of elements. Total number of functions from A to B = .

## The correct answer is: 64

### Given, $A={1, 2, 3}$ and $B={a, b, c, d}$

Element A can have an image in 3 ways, i.e., (1, 2, 3)

Similarly, B can have an image in 4 ways.

Thus, total number of ways =4×4×4=64

Element A can have an image in 3 ways, i.e., (1, 2, 3)

### Related Questions to study

### The number of into functions that can be defined from is

### The number of into functions that can be defined from is

A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

The graph between the resistive force F acting on a body and the distance covered by the body is shown in figure. The mass of the body is 25KG and initial velocity is 2 m/s. When the distance covered by the body is 4km, its kinetic energy would be

The graph between the resistive force F acting on a body and the distance covered by the body is shown in figure. The mass of the body is 25KG and initial velocity is 2 m/s. When the distance covered by the body is 4km, its kinetic energy would be

The number of onto functions that can be defined from A={a,b,c,d,e} to {1,2} is

The number of onto functions that can be defined from A={a,b,c,d,e} to {1,2} is

The momentum of a body increases by 20%. The percentage increase in its kinetic energy is

The momentum of a body increases by 20%. The percentage increase in its kinetic energy is

Two spheres A and B of masses M_{1} and M_{2} respectively collide. A is at rest initially and B is moving with velocity V along X-axis. After collision has a velocity in a direction perpendicular to the original direction. The mass moves after collision in the direction

Two spheres A and B of masses M_{1} and M_{2} respectively collide. A is at rest initially and B is moving with velocity V along X-axis. After collision has a velocity in a direction perpendicular to the original direction. The mass moves after collision in the direction

A block of mass 10 kg slides down a rough slope which is inclined at to the horizontal. The coefficient of sliding friction is 0.30. When the block has slide 5 m, the work done on the block by the force of friction is nearly

A block of mass 10 kg slides down a rough slope which is inclined at to the horizontal. The coefficient of sliding friction is 0.30. When the block has slide 5 m, the work done on the block by the force of friction is nearly

Two identical cylindrical vessels with their bases at same level each contains a liquid of density . The height of the liquid in vessel is h_{1} and that in the other vessel is h_{2}. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is

Two identical cylindrical vessels with their bases at same level each contains a liquid of density . The height of the liquid in vessel is h_{1} and that in the other vessel is h_{2}. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is

The number of injections from Set - A containing 5 elements to a Set -B containing 6 elements is

The number of injections from Set - A containing 5 elements to a Set -B containing 6 elements is

Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into

Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into

Two masses of 1kg and 4kg are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

Two masses of 1kg and 4kg are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

### A rod AB of mass , length Lis lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity in a direction perpendicular to AB. The collision is completely elastic. After the collision, the Particle comes to rest. The ratio is

### A rod AB of mass , length Lis lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity in a direction perpendicular to AB. The collision is completely elastic. After the collision, the Particle comes to rest. The ratio is

Number of functions from Set-A containing 5 elements to a Set-B containing 4 elements is

Number of functions from Set-A containing 5 elements to a Set-B containing 4 elements is

A ball is released from the top of a tower. The ratio of work done by force of gravity in first, second and third second of the motion of the ball is

A ball is released from the top of a tower. The ratio of work done by force of gravity in first, second and third second of the motion of the ball is

A letter lock consists of three rings each marked with 5 different letters. Number of maximum attempts to open the lock is

A letter lock consists of three rings each marked with 5 different letters. Number of maximum attempts to open the lock is