be the Fermat point of a 
.
,
,
are concurrent and the point of concurrence is 
,
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well). i want to study so if you guys have some easy or normal problems please send me
?
chess board, except for the 
central square, there is a checker. In one move, a checker can jump over adjacent checker (diagonally), and this adjacent checker (that was jumped over) is removed. Is it possible to come up with a sequence of moves, so that only one checker is left on the board?
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In a summer camp that is going to last 
weeks, you want to divide the time into 
periods so that each period starts on a Monday and ends on a Sunday. The first period will be dedicated to artistic work, the second will be for sports and in the third there will be a technological workshop. During each term, a Monday will be chosen for an expert on the topic of the term to give a talk. Let 
be the number of ways in which the activity calendar can be made. (For example, if 
one way the calendar could be done is by putting the first four weeks for art and the artist talk on the first Monday; the next 
weeks could be for sports, with the athlete visit on the fourth Monday of that period; the remaining week would be for the technology workshop and the talk would be on Monday of that week.) Calculate 
.
weeks, you want to divide the time into 
periods so that each period starts on a Monday and ends on a Sunday. The first period will be dedicated to artistic work, the second will be for sports and in the third there will be a technological workshop. During each term, a Monday will be chosen for an expert on the topic of the term to give a talk. Let 
be the number of ways in which the activity calendar can be made. (For example, if 
one way the calendar could be done is by putting the first four weeks for art and the artist talk on the first Monday; the next 
weeks could be for sports, with the athlete visit on the fourth Monday of that period; the remaining week would be for the technology workshop and the talk would be on Monday of that week.) Calculate 
.
