Multiplication principle - examples
- Six on dice
What is the probability that when throwing two dice will fall at least one six?
- Sum or product
What is the probability that two dice fall will have the sum 7 or product 12?
How many three-digit natural numbers do not have the number 7?
How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10 and if digits can be repeated.
- 7 heroes
5 heroes galloping on 5 horses behind. How many ways can sort them behind?
- No. of divisors
How many different divisors has number ??
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?
In how many ways can 7 shuttle vans line up at the airport?
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
How many ways can 7 guests sit down on 9 seats standing in a row?
- 2nd class variations
From how many elements you can create 6480 variations of the second class?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
How many ways are there to arrange 9 books on a shelf?
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
How many rectangles with area 2832 cm2 whose sides is natural numbers are?
- Football league
In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters.
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?