# Combinatorics - math word problems

1. Cards How many ways can give away 32 playing cards to 5 player?
2. Teams How many ways can divide 16 players into two teams of 8 member?
3. travel agency Small travel agency offers 5 different tours at honeymoon. What is the probability that the bride and groom choose the same tour (they choose independently)?
4. Green - Red We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?
5. Count of triangles Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
6. MATES In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?
7. 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?
8. Win in raffle The raffle tickets were sold 200, 5 of which were winning. What is the probability that Peter, who bought one ticket will win? Peter and Franta threw to the basket. Each had 20 attempts. Peter scored thirteen and twelve Franta. Give them success in percentage.
10. Calculation of CN Calculate: ?
11. Chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
12. Medicine We test medicine on 6 patients. For all drug doesn't work. If the drug success rate of 20%, what is the probability that medicine does not work?
13. Salami How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?
14. Pupils Four pupils is going via dark hall. Start at one side and have to get to the other side for 17 minutes. They have only one lamp for the trip. The corridor is narrow, they can therefore go up two pupils at a time and go at the slower speed. Each pupil went.
15. Football league In the football league is 16 teams. How many different sequence of results may occur at the end of the competition?
16. Combinations How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7?
17. Trinity How many different triads can be selected from the group 43 students?
18. Sum on dice We have two dice. What is the greater likelihood of fall a total sum 7 or 8 ? (write 7, 8 or 0 if the probabilities are the same)?
19. Probability - tickets What is the probability when you have 25 tickets in 5000 that you not wins the first (one) prize?
20. Neighborhood I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?

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