Variations - problems

1. A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win.
2. No. of divisors
How many different divisors has number ??
3. 7 heroes
9 heroes galloping on 9 horses behind. How many ways can sort them behind?
4. 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?
5. Vans
In how many ways can 9 shuttle vans line up at the airport?
6. Seating
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
7. Guests
How many ways can 5 guests sit down on 6 seats standing in a row?
8. 2nd class variations
From how many elements you can create 6972 variations of the second class?
9. Football league
In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
10. 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?
11. Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
12. Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
13. 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?
14. N-gon
How many diagonals has convex 11-gon?
15. Subsets
How many are all subsets of set ??
16. Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
17. 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?
18. Area codes
How many 6 digit area codes are possible if the first number can't be zero?
19. 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?
20. 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?

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