# Shelf

How many ways are there to arrange 6 books on a shelf?

Result

m =  720

#### Solution:

$m = 6! = 720$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### Following knowledge from mathematics are needed to solve this word math problem:

See also our permutations calculator. Would you like to compute count of combinations?

## Next similar math problems:

1. Playing cards
How many possible ways are to shuffle 7 playing cards?
2. Kids
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
3. Vans
In how many ways can 9 shuttle vans line up at the airport?
4. Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
5. 7 heroes
9 heroes galloping on 9 horses behind. How many ways can sort them behind?
6. Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
7. Practice
How many ways can you place 20 pupils in a row when starting on practice?
8. Guests
How many ways can 7 guests sit down on 8 seats standing in a row?
9. Lock
Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
10. Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
11. Combinations 7
A multi-course meal has 3 choices. 3 appetizers, 4 main courses, and 3 desserts. How many different combinations to choose from?
12. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
13. Words
How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
14. PIN - codes
How many five-digit PIN - code can we create using the even numbers?
15. Commitee
A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
16. A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 6.
17. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?