Respuesta :

Answer:

The number of ways of doing so is:

            6227020800

Step-by-step explanation:

We know that the number of ways of arranging n people or things or number is done by the rule as:

                              n!

We know that the formula is given by:

[tex]n!=n\times (n-1)\times (n-2)\times (n-3)...........\times 3\times 2\times 1[/tex]

Here we are asked to arrange 13 students in a line for a lunch.

So, the number of ways of doing so is calculated as:

                                [tex]13![/tex]

[tex]13!=13\times 12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\\\\13!=6227020800[/tex]

      Hence, the number of ways of doing so is:

              6227020800