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How many four-digit numbers can be formed from 0,1,2,3,...,9 if the number begins and ends with an odd digit?
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there are 5 choices for the thousandth place digit there are 10 choices for the hundreds place digit there are 10 choices for the tens place digit there are 5 choices for the ones place so there are 5x10x10x5 four digit numbers that begin and end with an odd digit
are we allowed replacements?
Are repetitions allowed ?
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