Multiplication principle - examples
- 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?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
How many ways are there to arrange 9 books on a shelf?
In how many ways can be divided gold, silver and bronze medal among 18 contestant?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?
- Weekly service
In the class are 16 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- 2nd class variations
From how many elements you can create 6480 variations of the second class?
From the urn in which are 18 white balls and 4 red, gradually drag 5-times without replacement. What is the probability that pulls balls are in order: red red white white white?
A class consists of 5 males and 18 females. How many committees of 4 are possible if the committee must consist of 3 males and 1 females?
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
- Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
How many ways can divide 22 identical candies to 4 children?