# Shelf

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

Result

m =  720

#### Solution:

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

Be the first to comment!

#### To solve this example are needed these knowledge from mathematics:

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

## Next similar examples:

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 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
5. Practice
How many ways can you place 20 pupils in a row when starting on practice?
6. Guests
How many ways can 5 guests sit down on 6 seats standing in a row?
7. 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?
8. Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
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?
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes this two changes. How many opportunities have a choice?
11. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
12. PIN - codes
How many five-digit PIN - code can we create using the even numbers?
13. Words
How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
14. Cars plates
How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
15. School trip
The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
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?