# 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)

Result

N =  2933186256000

#### 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. Committees
How many different committees of 6 people can be formed from a class of 30 students?
2. 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?
3. 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?
4. Word
What is the probability that a random word composed of chars T, H, A, M will be the MATH?
5. Kids
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
6. Division
Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
7. 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?
8. Vans
In how many ways can 9 shuttle vans line up at the airport?
9. Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
10. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
11. How many 2
How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
12. Peak
Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?
13. Elements
If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
14. Big factorial
How many zeros end number 116! ?
15. Tokens
In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
16. Words
How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
17. Value
Find the value of the expression: 6!·10^-3