1. If a state wants each of its license plates to contain 7 different digits, how many...

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1. If a state wants each of its license plates to contain 7 different digits, how many different license plates can it make?
2. If a state wants each of its license plates to contain any 7 digits, how many different license plates are possible?
3. A sailboat owner received 6 different signal flags with his new sailboat. If the order in which the flags are arranged on the mast determines the signal being sent, how many 3-flag signals can be sent?
4. Eight horses are entered in a race. In how many ways can the horses finish? Assume no ties.
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