Variations + multiplication - examplesSee also our variations calculator.
- 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?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
- 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?
- Three digits number
How many are three-digit integers such that in they no digit repeats?
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?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters.
- No. of divisors
How many different divisors has number ??
- Cars plates
How many different licence plates can country have, given that they use 3 letters followed by 4 digits?
- Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
- The camp
At the end of the camp a 9 friends exchanged addresses. Any friend gave remaining 8 friends his card. How many addresses they exchanged?
Uphill leads 3 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?
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?
- Seating rules
In a class are 22 seats but in 2.B class are only 14 students. How many ways can student seat? (The class has 11 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
- A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 1.
- Football league
In the football league is 16 teams. How many different sequence of results may occur at the end of the competition?