SOLUTION: There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can the

Question 190798: There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must be together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must be together?
-----------------
# of ways to arrange physics: 8!
# of ways to arrange history: 7!
# of ways to arrange calculus:4!
--------
# of ways to arrange the three groupings: 3!
---------------
Total number of arrangements: 8!*7!*4!*3!= 2.92626 x 10^10
=============================================================
Cheers,
Stan H.
RELATED QUESTIONS
There are 8 Physics books, 4 calculus books, 7 us history textbooks, and 3 resource books (answered by stanbon)

There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3... (answered by solver91311)

Five different algebra textbooks, two different calculus textbooks, and four different... (answered by stanbon,math_helper)

There are between 50 and 100 books on a shelf. Exactly 20% of them are textbooks. Exactly (answered by josgarithmetic)

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$... (answered by ikleyn)

There are 2 geometry books, 4 geography books, 5 history books, and 3 physics books. How... (answered by stanbon)

A book store has received 8 different books, of which 3/8 are novels, 25% are study... (answered by Boreal)

How many ways can you arrange 2 geometry, 4 algebra, 5 history, and 3 physics textbooks... (answered by Edwin McCravy)

A student has room for six books on a shelf near his study area. The books are a... (answered by ewatrrr)