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 ->  Permutations -> 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      Log On


   

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) About Me  (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