# Combinatorics - examples - page 5

- Medals

In how many ways can be divided gold, silver and bronze medal among 21 contestant? - Words

How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition - The camp

At the end of the camp a 8 friends exchanged addresses. Any friend gave remaining 7 friends his card. How many addresses they exchanged? - Digits

Write the smallest and largest 1-digit number. - Circles

How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line? - Variations 3rd class

From how many elements we can create 13,800 variations 3rd class without repeating? - Raffle

In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number? - 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 four - Three-digit numbers

How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - Three-digit

How many three-digit natural numbers is greater than 321 if no digit in number repeated? - Combinatorics

The city has 7 fountains. Works only 6. How many options are there that can squirt ? - Bulbs

In the box are 6 bulbs with power 75 W, 14 bulbs with power 40 W and 15 with 60 W. Calculate probability that a randomly selected bulb is: - Hockey

Hockey match ended 8:2. How many different matches could be? - Shooters

In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once. - Committees

How many different committees of 6 people can be formed from a class of 30 students? - Trainings

The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kova - Three digits number

From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there? - The dice

What is the probability of events that if we throw a dice is rolled less than 6? - Hearts

5 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacement. What is the probability of choosing 5 hearts in a row? - Olympics

In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.

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