Answer:
2520
Explanation:
You want to know the number of ways that 5 pennies, 2 quarters, and 3 dimes can be arranged in a line.
Arrangements
The 10 coins can be arranged 10! ways. If we assume coins of the same type are indistinguishable, then we must divide that number by the possible arrangements of the coins of the same type.
The desired number of arrangements is ...
10!/(5!×2!×3!) = 2520
The coins can be arranged in a line 2520 ways.
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