Question

Morton scheduled his classes for next semester from 12 different course choices, scheduling times that fit into his work schedule. Decide whether this is a permutation or combination

Answer 1

The arrangement of n object in a specific order without repeating them and without excluding them is called a permutation

`P_n=n!`

The arrangement of n objects in any order is called combination.

`C_(m,n)=(m!)/(n!\cdot(m-n)!)`

For our case, the 12 courses are different, that is, they are not repeated, and they have a specific order, so we choose the permutation

For Morton n=12 differente courses so

`\begin{gathered} n=12 \\ P_(12)=12! \\ P_(12)=1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11\cdot12 \\ P_(12)=479001600 \end{gathered}`