Combinatorics - examplesWould you like to compute count of combinations?
- Pins 2
how many different possible 4 digits pins can be found on the 10-digit keypad?
From the colors - red, blue, green, black and white, create all possible tricolors.
- Roses 2
Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options.
- VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
How many natural numbers greater than 4000 which are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers less than 4000 and the numbers can be repeated?
- 7 heroes
5 heroes galloping on 5 horses behind. How many ways can sort them behind?
In how many ways can 7 shuttle vans line up at the airport?
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?
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?
How many ways can 7 guests sit down on 9 seats standing in a row?
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?
From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
How many ways are there to arrange 9 books on a shelf?
Write the smallest and largest 3-digit number.
In how many ways can be divided gold, silver and bronze medal among 18 contestant?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
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?