# Combinatorics - math word problems

1. Combinations
From how many elements we can create 990 combinations 2nd class without repeating?
2. Olympics metals
In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
3. Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
4. Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
5. Eight blocks
Dana had the task to save the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fou
6. Owner of the company
The owner of the company with extensive administrative activity wants to sell the obsolete 3 machines at the price of CZK 1000 per 1 machine with a six-month warranty period. If the machine breaks down during this period, the owner will return the employ
7. Sum 10
What is the probability that two dice throw twice in a row will result the sum of 10?
8. Throw
We throw 2 times with 2 dices. What is the probability that the first roll will fall more than sum of 9 and the second throw have sum 3 or does not have the sum 4?
9. 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?
10. Probability
What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize?
11. Probability - tickets
What is the probability when you have 25 tickets in 5000 that you not wins the first (one) prize?
12. Football team
Football team has in store black, purple and orange shirts, blue and white shorts and striped and gray socks. How many different outfits players may start?
13. Cards
Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We are pulled out of a hat randomly one card and we see that one side of it is red. What is the probab
14. Disco
On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
15. 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?
16. 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?
17. Variations 3rd class
From how many elements we can create 13,800 variations 3rd class without repeating?
18. 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
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?