Someone me asap,

there are 24 students in mrs. noether's third grade class, and there are 3 books on the reading list for book reports this quarter. mrs. noether wants to assign 8 students to book a, 10 students to book b, and 6 students to book c. how many distinct ways can she do this?

this is a combination problem with grouping.

The number of distinct ways she can do this is:

                        6635520 ways

If we have to chose r items out of a total of n items then the number of ways of doing so is given by:

There are 24 students in Mrs. Noether's third grade class.

Now,  Mrs. Noether wants to assign 8 students to Book A.

This means that the number of ways of doing so is:

10 students are to be assigned to Book B.

The number of ways of doing so is:

and  6 students to Book C.

The number of ways of doing so  is:

Hence, the total number of distinct ways of doing so is:

which on solving gives:

              6635520 ways

step-by-step explanation: 4 cause 2+2=4