# High school + multiplication principle - math problems

1. Two groups The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
2. No. of divisors How many different divisors have 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 5 people sit on 4 numbered chairs (e. G. , seat reservation on the train)?
7. Guests How many ways can 9 guests sit down on 11 seats standing in a row?
8. Word What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
9. 2nd class variations From how many elements you can create 2450 variations of the second class?
10. Shelf How many ways are there to arrange 6 books on a shelf?
11. Phone numbers How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
12. Football league In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
13. Playing cards How many possible ways are to shuffle 7 playing cards?
14. Pairs At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
15. Morse alphabet Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
16. Coin and die Flip a coin and then roll a six-sided die. How many possible combinations are there?
17. 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?
18. Subsets How many are all subsets of set ??
19. Balls From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
20. 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?

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