# IMEI Mathematics Examination Part 3. 10 tasks

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1. From the city A to city B are 5 roads in and out of the city in the city with - three roads. How many ways through prohodya¬schih The lead from A to C?
2. There are six pairs of gloves of different sizes. How many ways can choose one of them per¬chatku on the left hand, and one - to the right so that the gloves were selected in different sizes?
3. Five girls and three boys playing in the towns. In how many ways they can be broken into two teams of 4 people, if each team must have at least one boy?
4. The railway car compartment has two opposite places couch 5 each. Of the 10 passengers on the four compartments are willing to sit face to the engine, 3 - back to the engine, and the rest is indifferent to sit. How many ways can accommodate passengers with regard to their desires?
5. The post office selling postcards of ten species in unlimited amounts. In how many ways you can buy 12 cards?

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