SOLUTION: A bookshelf displays different types of books, 6 books in English (E) and 5 books in Spanish (S). If 4 books are chosen among the English language books and 3 are selected from the
Algebra.Com
Question 1171338: A bookshelf displays different types of books, 6 books in English (E) and 5 books in Spanish (S). If 4 books are chosen among the English language books and 3 are selected from the Spanish language books, calculate how many ways can the 7 books be arranged on a shelf given that
i) There are no restrictions (no concern on the sequence)?
ii) 4 English books must put together?
iii) English and Spanish books must put alternately (i.e. ESESESE).
Please help me with these questions. I am confused. Do I need to apply the combinations method first in order to select the books? or I can just directly solve this problem by using permutation?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
i: 
ii: 
iii: 
You can do your own arithmetic.
John
My calculator said it, I believe it, that settles it
From
I > Ø
RELATED QUESTIONS
In a library the ratio of Sinhalese books to English books is 5:3 if all the English... (answered by KMST)
If 5 books of English, 4 books of Tamil and 3
books of Hindi are to be arranged in a... (answered by KMST)
Suppose that you have 3 different math books, 4 different chemistry books, and 5... (answered by stanbon)
In how many ways can three different math books and four different English books be... (answered by sudhanshu_kmr)
On a bookshelf, there are five different mystery books and six different biographies.... (answered by stanbon)
In how many ways can be arranged on a bookshelf eight different books in order:
a) 3... (answered by stanbon)
In a library, 4 different english books, 2 different chemistry books and 3 different... (answered by stanbon)
There are 4 different mathematics books and 5 different science books in how many ways... (answered by ikleyn)
A box in a college bookstore contains books, and each book in the box is a history book,... (answered by rfer)