# Combinatorics - examples

Would you like to compute count of combinations?- 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? - Cards

From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace? - 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? - 7 heroes

5 heroes galloping on 5 horses behind. How many ways can sort them behind? - Vans

In how many ways can 7 shuttle vans line up at the airport? - Flags

How many different flags can be made from colors red, white, blue, black, yellow, green, purple, gray, orange so that each flag consisted of three different colors? - Seating

How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)? - Football league

In the 2nd football league is 19 teams. How many ways can be filled first, second and third place? - Guests

How many ways can 7 guests sit down on 9 seats standing in a row? - Candies

In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ? - Playing cards

How many possible ways are to shuffle 7 playing cards? - Shelf

How many ways are there to arrange 9 books on a shelf? - Ace

From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace? - Digits

Write the smallest and largest 3-digit number. - Medals

In how many ways can be divided gold, silver and bronze medal among 18 contestant? - Elections

In elections candidate 8 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes. - Coin and die

Flip a coin and then roll a six-sided die. How many possible combinations are there? - Word

What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT? - Examination

The class is 22 students. How many ways can choose four to examination? - Numbers

How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?

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