More than you'd believe! The first book can be any one of twenty, the second any one of the remaining nineteen and so on until the fifteenth book can be any of the last six.
This is 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 different arrangements, which multiplies to a 17-digit number!
20,274,183,401,472,000 or "twenty quadrillion, two hundred and seventy four trillion, one hundred and eighty three billion, four hundred and one million, four hundred and seventy two thousand" (in US figures).
Do not attempt to check it in your local library!
The answer to this one is 24. You can do this mathematically by 4*3*2*1.
it depends on the shelf of course
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.
Theorem: A number of permutation (the possible arrangements) of n distinct objects is n!Answer: There are 5! = 5 x 4 x 3 x 2 x 1 = 120 ways in which the five cereal boxes can be arranged in a shelf.
you can arrange 8 pictures 28 different ways
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If the librarian follows a standard scheme, such as the Dewey Decimal, then there is essentially only one way. If the librarian arranged books randomly it would become extremely difficult to find any books: the library would become unusable and the librarian would get sacked. So again not many ways of arranging books before you stop being a librarian.
30 ways.
The answer to this one is 24. You can do this mathematically by 4*3*2*1.
120. You do 5*4*3*2*1=120. you multiply the number that you are given for example how many times can books 3 be arranged on a shelf you multiply 3*2*1=6 that is your answer
5 books can be lined up on a shelf in (5 x 4 x 3 x 2 x 1) = 120 different sequences.
Yes. They are real.
The answer would be 7! or (7*6*5*4*3*2*1)=5040
Choose 3 then 2 then 1; 3*2*1 = 6 ways.
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
Ill skip the factorials and just give you what the calculator does in the end. 8*7*6*5*4*3= 20,160
Answerthe answer is 24 WHICH is the result of the multiplication: 4x 3 x 2 x 1 = 24. You can try it practically as: Numbering books as A,B, C, and D then the variations are:ABCDABDCBACDBADCCDABCDBADCABDCBABCADBCDACBADCBDAADBCADCBDABCDACBBDACBDCADBACDBCAACBDACDBCABDCADB