How many numbers from 0 to 10,000 have exactly one digit equal to 5?
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We first have the 21 constants arranged arbitrarily
and there are 21 ! ways to do so. For each such 21-permutation,we arrange the 5 vowels a,e,i,o,u 22 positions between constants; there are p (22,5) wys of such arrangement .Thus the answer is 21 !
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