# Combinatorics - examples - page 5

- Digits

Write the smallest and largest 1-digit number. - 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? - Committees

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

4 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacement. What is the probability of choosing 4 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. - The dice

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

We toss coin, every throw fits lion or a virgin with equal probability 1/2. Determine how much at least we have to make throws that with probability 0.9 lion fell at least once. - Chess

How many different ways can initiate a game of chess (first pass)? - A three-digit numbers

Determine the total number of positive three-digit numbers that contain a digit 6. - Probabilities

If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. intersect and opposite and its combinations):

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