There are only 5 places on the shelf. You have 7 books to choose from. We will ignore the order of the books on the shelf. The first place can be filled from a choice of 7 books, the next place from 6, the next place from 5, the next from 4, and the last of the 5 places from 3 books.
So the number of ways of choosing the 5 is found from 7 * 6 * 5 * 4 * 3 = 2520
Consider one placement at a time. The first book on the shelf could be any of seven. The second could be any of the remaining six. This continues with the rest. The total combinations are: 7! = 7*6*5*4*3*2*1 = 5040
20, without replacing the first book chosen. 25 with replacing it.
First book can go in any of 6 places, second in any of the 5 remaining and so on until fifth book has 2 options. There are therefore 6 x 5 x 4 x 3 x 2 ie 720 possible arrangements.
You can simplify the problem by considering it as two different problems. The first involves consider the five-book chunk as a single book, and calculating the permutations there. The second involves the permutations of the books within the five-book block. Multiplying these together gives you the total permutations. Permutations of five objects is 5!, five gives 5!, so the total permutations are: 5!5! = 5*5*4*4*3*3*2*2 = 263252 = 14,400 permutations
Assuming that each of the nine books is unique, that there are only nine positions open on the given shelf, and that each book can fit in each position, the answer is 9! (nine factorial) which is equal to 362,880. If the nine books are not all unique (i.e. there are two of the same book), the number should decrease taking into effect that reversing the positions of the identical books makes no overall change. If there is one additional position, the number should increase to 10! or 3,628,800. If there is more than one additional position, the number will still increase, but not to 11! or 12! since both open spaces are reversible just like the identical books.
because of gravity. i think
Consider one placement at a time. The first book on the shelf could be any of seven. The second could be any of the remaining six. This continues with the rest. The total combinations are: 7! = 7*6*5*4*3*2*1 = 5040
A book shelf.
2. If the books are x and y, then xy or yx are the only possible ways. Unless you allow for one book to the side of the other, one bok on top of the other, one book leaning partially on the other, etc. In that case, there are an infinite number of ways.
Were. There were a few books on the shelf. Was - is singular. There was one book.
There are 5! (that is, 120) distinct ways to arrange five items. Only 1 of them will have the books in alphabetical order by title. So the probability that it happens by random is 1/120.
The collective nouns for books are:a stack of booksa shelf of booksa library of books.
First you need to create separate shelves for your books (i.e. horror, romance, mystery, already read, etc.). Then, go to each shelf and touch the "edit" button. This will bring up a list of all your books. Go to each book you want on each specific shelf (i.e. say you're putting mystery books on your "mystery shelf", touch the "edit" button, touch the screen next to the book and that creates a check mark. Once finished for one shelf, press "save". Your books for that shelf are now saved onto that "shelf". Continue this for all your books. To move books from one shelf to another, again go to the shelf you want to remove it from, hit "edit", find the book title, touch the checked-marked box which will remove it from that shelf, touch "save" to ensure that it's removed from that shelf. Go to the shelf you want that book to go and repeat the process ("edit, put a check mark next to the book title, "save") and your done.
If the different books of the same type are considered to be the same, so that different arrangements of the same type of book are not considered to be different variations in the answer, then to find the different arrangements of books simply multiply 3 X 4 to find the answer 12. If each book must be placed as a separate entity (each book is completely different and the books must all be arranged separately) then the answer is 7! (seven factorial), or 7 x 6 x 5 x 4 x 3 x 2 x 1. The answer in this case is 5040. Examples: Answer 12: GGGAAAA AGGGAAA AAGGGAA AAAGGGA AAAAGGG Etc. Answer 5040: (Each number represents a different book. 4 are Algebra and 3 are Geometry, but all the books must be placed seperatly, so that makes no difference.) 1234567 7654321 7234561 7634512 Etc.
a lager viewing screen and a virtual book shelf with realistic books
you climb the book shelf at the top left coner you push a book down onto the books happy yes/no
There are 8 ways to choose the first book There are 7 ways to choose the second book - 8 x 7 = 56 ways to select two books There are 6 ways to choose the third book - 8 x 7 x 6 = 336 way to select three books There are 5 ways to choose the fourth book - 8 x 7 x 6 x 5 = 1,680 ways to select four books.