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

The assignment can be made in 630,630 ways.

Step-by-step explanation:

Arrangement formula:

We want to arrange n people into x roles.

is the number of people for the first role.

is the number of people for the second role.

is the number of people for the xth role.

The total number of arrangents is:

In this question:

15 employees

6 to the day shift.

4 to the night shift.

5 to the graveyard shift.

In how many ways can the assignment be made?

The assignment can be made in 630,630 ways.

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step-by-step explanation:

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d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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