# Cinema

How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?

Result

x =  4368

#### Solution:

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

Math student
wrong

Math student
shouldn't it be 4368 ( 16 choose 11)

Dr Math
are you sure? Aren't combinations with repetition?

Math student
The answer is 4368. It’s a combination with repetition problem with n=6, r= 11.

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

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

## Next similar examples:

1. 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?
2. Fish tank
A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
3. The confectionery
The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
4. First class
The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
5. Cards
How many ways can give away 32 playing cards to 5 player?
6. A student
A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 que
7. Competition
15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
8. 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?
9. Hockey
Hockey match ended 8:2. How many different matches could be?
10. Trinity
How many different triads can be selected from the group 43 students?
11. Hockey game
In the hockey game was made 6 goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequence was possible during the game?
12. Combinations 6
6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap and 1 strap. How many possible combinations?
13. Points in plane
The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
14. Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
15. Calculation of CN
Calculate: ?
16. Cards
From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
17. Count of triangles
Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.