SOLUTION: a book seller has 10 identical books of maths , 3 identical books of accounting , 5 identical books of statistics. in how many different ways can he displays his books. (note t

Algebra ->  Permutations -> SOLUTION: a book seller has 10 identical books of maths , 3 identical books of accounting , 5 identical books of statistics. in how many different ways can he displays his books. (note t      Log On


   



Question 1083062: a book seller has 10 identical books of
maths , 3 identical books of accounting , 5
identical books of statistics. in how many
different ways can he displays his books.
(note that the books in same subjects are
identical , one can not be differ from
others )

Answer by Gentle Phill(18) About Me  (Show Source):
You can put this solution on YOUR website!
Simple.
.
Let's consider them as letters with M representing Math, A; Account and S; Statistics
.
We'll have:
.
MMMMMMMMMMAAA
SSSSS
.
Total display of books = Total possible arrangement of letters.
.
= 18!/(10!3!5!) ways
.
= 2450448 ways