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1000 Chart - Number of ways to invest $20, 000 $ 20, 000 in units of $1000 $ 1000 if not all the money need be spent ask question asked 2 years, 4 months ago modified 2 years, 4 months. A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count. If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n. For each integer 2 ≤ a ≤ 10 2 ≤ a ≤ 10, find the last four digits of a1000 a 1000. Here are the seven solutions i've found (on the internet). The numbers will be of the form: Thus, (1 + 999)1000 ≥ 999001 and (1 + 1000)999 ≥ 999001 but that doesn't make. Now, it can be solved in this fashion. To avoid a digit of 9 9, you have 9 9 choices for each of the 3 3. We need to calculate a1000 a 1000 mod 10000 10000.

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