#### Topic: School problem, 3 a class

Helped the child to do mathematics. Such problems (by the own words): 1. At school all caught chess and arranged chess tournament. In it give 3 points for a victory, 1 point for a drawn game and 0 for loss. Masha bragged that for 38 played batches it typed 80 points. Masha lost what maximum quantity of batches? 2. It is possible to present number 14 the total 6 odd numbers. The order of numbers thus does not play a role. How many different variants/combinations exist for this purpose? And here I think that except as search it not to solve. Or to solve?

#### Re: School problem, 3 a class

Hello, paul.marx, you wrote: PM> at school all caught chess and arranged chess tournament. In it give 3 points for a victory, 1 point for a drawn game and 0 for loss. PM> Masha bragged that for 38 played batches it typed 80 points. PM> Masha lost what maximum quantity of batches? Here it is simple. It is necessary to minimize an amount of batches by maximization of an amount of points which need to be typed. I.e. 80 points for the minimum quantity of batches are 26 scorings and 2 drawn games. There is a maximum of 10 losses. 80/3 = 26 (we take only an integer part). The remained 2 points from 80 it is gathered additionally 2-mja by drawn games. The remained batches it is losses. The second problem it already combinatorics like.

#### Re: School problem, 3 a class

Hello, paul.marx, you wrote: PM> And here I think that except as search it not to solve. PM> or to solve? Search simply enough quits. 9 1 1 1 1 1 7 3 1 1 1 1 5 5 1 1 1 1 5 3 3 1 1 1 3 3 3 3 1 1 other methods to involve 6 numbers it does not turn out