# Combinatorics - examples - page 2

- Shelf

How many ways are there to arrange 6 books on a shelf? - Chocolates

In the market have 4 kinds of chocolates. How many ways can we buy 19 chocolates? - Phone numbers

How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Two doctors

Doctor A will determine the correct diagnosis with a probability 86% and doctor B with a probability 87%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors. - Rectangles

How many rectangles with area 3032 cm^{2}whose sides is natural numbers are? - Dice

How many times must throw the dice, the probability of throwing at least one six was greater than 90%? - Football league

In the 5th football league is 10 teams. How many ways can be filled first, second and third place? - Playing cards

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

How many ways can divide 16 identical candies to 4 children? - Pairs

At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Sales

From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B? - Scrap

From 6 products are 3 scrap. What is the probability that the random pick of 2 products have no defective product? - Morse alphabet

Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters. - Stacks

Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have? - Coin and die

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

Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately? - Dices

We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2? - N-gon

How many diagonals has convex 11-gon? - Event probability

The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)? - Subsets

How many are all subsets of set ??

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