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tatuchka [14]
2 years ago
8

coins are to be put into 7 pocket so that each pocket contain at least one coins and no of two of remaining pocket are to contai

n an equal number of coins. what is least possible number of coins needed for pockets?​
SAT
1 answer:
german2 years ago
5 0

Answer:

We want to minimize the number of coins. Since there must be AT LEAST 1 coin per pocket, let's put 1 coin in the first 3 pockets.

Pocket #1: 1 coin

Pocket #2: 1 coin

Pocket #3: 1 coin

No two of the remaining pockets are to contain an equal number of coins.

So, from this point on, we cannot put 1 coin in any more pockets (otherwise, we'll break the rule about no more than 3 pockets containing the same number of coins).

To minimize the number of coins, we'll put 2 coins in pocket #4, then 3 in pocket #5 and so on...

Pocket #4: 2 coins

Pocket #5: 3 coins

Pocket #6: 4 coins

Pocket #7: 5 coins

So, the minimum number of coins = 1+1+1+2+3+4+5 =17

the answer is 17

Explanation:

hope this helps you

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