Coins
Seven different coins are to be divided among three persons. If no two persons receive the same number of coins but each receives at least one coin and none is left over, then the number of ways in which the division may be made is .
The answer is 630.
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1 solution
IF EVERY PERSON GETS ONE AND NO TWO PERSON GETS THE SAME NUMBER,,THEN THE ONLY WAY TO DIVIDE IS GIVING 4 COINS TO ONE PERSON,2 COINS TO ANOTHER AND 1 COIN TO THE THIRD PERSON. THIS CAN BE DONE IN 7C4 3C2 1C1 =630 WAYS.