A four digit number is formed by the digits 1 2 3 4 nbsp with no repetition The probability that the......

A four-digit number is formed by the digits 1,2,3,4  with no repetition. The probability that the number is odd is?

The total number of numbers=4!

 =4×3×2×1                                       

 =24

For odd numbers,1 or 3 has to be at the unit place.

If 1 is at the unit place, then the total number of numbers=3!

 =3×2×1             

 =6             

And if 3 is at the unit place, then the total number of numbers=3!

 =6              

Therefore the total number of odd numbers=6+6

=12

Therefore required probability=12/24

=1/2

By: bhavesh kumar singh