Your Manager Will Assign Her 10 Employees to Three Tasks

Question

Examlex · Accepted Answer

The Answer is There are

\frac { 10 ! } { 5 ! 3 ! 2 ! } = 2520

ways to assign the employees to the tasks. In

\frac { 8 ! } { 3 ! 3 ! 2 ! } = 560

of these ways, you and your best friend are assigned to task A. In

\frac { 8 ! } { 5 ! 1 ! 2 ! } = 168

of these ways, you and your best friend are assigned to task B. In

\frac { 8 ! } { 5 ! 3 ! } = 56

of these ways, you and your best friend are assigned to task

C

.

P (

you and best friend assigned to same task

) = \frac { 560 + 168 + 56 } { 2520 } = \frac { 784 } { 2520 } = \frac { 14 } { 45 }

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