A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift, and 4 to the night shift. In how many ways can the assignment be made?

Answer :

Step 1 of 3 :

Given,

A company hired 15 employees, in that 15 employees they must assign 6 employees to the day shift, 5 to the graveyard shift and 4 to the night shift.

The claim is to find how many ways can the assignment be made.

Step 2 of 3 :

In 15 employees 6 are for day shift

Then, =

=

= 5005.

Remaining 9 employees, in that 5 employees for graveyard shift.

Therefore, =

=

= 126.