# Combinatorics - examples - page 9

1. Hockey match
The hockey match ended with result 3:1. How many different storylines may have the match?
2. Probability
What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize?
3. Six on dice
What is the probability that when throwing two dice will fall at least one six?
4. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
5. 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?
6. Combinations
From how many elements we can create 990 combinations 2nd class without repeating?
7. Olympics metals
In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
8. Volleyball
8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
9. Distribution function
X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5
10. 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?
11. Two aces
From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces?
12. Prize
How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
13. Tricolors
From the colors - red, blue, green, black and white, create all possible tricolors.
14. 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.
15. Red balls
In the bag there are 3 red, 12 blue and 8 green balls. How many red balls we must be attached to the bag if we want the probability of pulling out the red balls was 20%?
16. 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?
17. Combinations
If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
18. 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?
19. Elements
If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
20. Seagull
Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi

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