# Permutations + multiplication principle - examples

- 7 heroes

9 heroes galloping on 9 horses behind. How many ways can sort them behind? - Flags

How many different flags can be made from colors white, red, green, purple, orange, yellow, blue so that each flag consisted of three different colors? - Vans

In how many ways can 9 shuttle vans line up at the airport? - Seating

How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)? - Word

What is the probability that a random word composed of chars T, H, A, M will be MATH? - Shelf

How many ways are there to arrange 6 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? - Rectangles

How many rectangles with area 3032 cm^{2}whose sides is natural numbers are? - Playing cards

How many possible ways are to shuffle 7 playing cards? - Pairs

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? - Lock

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? - Subsets

How many are all subsets of set ?? - Kids

How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge? - Hockey players

After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - School trip

Class has 17 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 1× 3-bed and 2× 4-bed rooms. (Each room has its own unique number) - Numbers

How many different 7 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3,4,5,6? - Toys

3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy? - Chess

How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color? - Logik game

Letter game Logik is a two player game, which has the following rules: 1. The first player thinks five-letter word in which no letter is not repeated. 2. The second player writes a five-letter word. 3. The first player answers two numbers - the first numbe - Digits

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?

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