# Multiplication + multiplication principle - examples

1. No. of divisors
How many different divisors has number ??
2. 7 heroes
9 heroes galloping on 9 horses behind. How many ways can sort them behind?
3. 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?
4. Vans
In how many ways can 9 shuttle vans line up at the airport?
5. Seating
How many ways can 6 people sit on 3 numbered chairs (e. G. , seat reservation on the train)?
6. Guests
How many ways can 5 guests sit down on 6 seats standing in a row?
7. Shelf
How many ways are there to arrange 6 books on a shelf?
8. Orchard
3 trees in 3 lines grows in the orchard. How many trees are in the orchard?
9. Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
10. Football league
In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
11. Candy
How many ways can divide 16 identical candies to 4 children?
12. 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?
13. Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
14. Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
15. 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?
16. Pairs
From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
17. Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
18. Kids
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
19. Commitee
A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
20. School trip
The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)

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