Question

Six different statistics books, seven different physics books, and 3 different
Economics books are arranged on a shelf. How many different arrangements are
possible if;
i.
The books in each particular subject must all stand together
ii. Only the statistics books must stand togethe

Answer 1

Explanation:

There are 6%21=1%2A2%2A3%2A4%2A5%2A6=720 ways to organize the 6 statistics books.

There are 7%21=1%2A2%2A3%2A4%2A5%2A6%2A7=5040 ways to organize the 7 physics books.

There are 3%21=1%2A2%2A3=6 ways to organize the 3 economics books.

There are 3%21=1%2A2%2A3=6 ways to organize the 3 groups of single-subjects books on the self.

So, there are 720%2A5040%2A6%2A6=highlight%28130636800%29 different possible arrangements if the books in each particular subject must all stand together.

There are 6%21=1%2A2%2A3%2A4%2A5%2A6=720 ways to organize the 6 statistics books.

There are 10%21=1%2A2%2A3%2A4%2A5%2A6%2A7%2A8%2A9%2A10=3628800 ways to organize the 7%2B3=10 books on the other subjects.

There are 10%2B1=11 places where the set of statistics books could be inserted together in between the 10 books on the other subjects.

So, there are 720%2A3628800%2A11=highlight%2828740096000%29 different possible arrangements if only the statistics books must stand together