Combinatorics - examples - page 2
How many ways are there to arrange 6 books on a shelf?
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.
How many rectangles with area 3032 cm2 whose sides is natural numbers are?
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?
How many ways can divide 16 identical candies to 4 children?
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?
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?
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.
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?
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?
We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
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)?
How many are all subsets of set ??
Would you like to compute count of combinations?