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How much zeros has the number $1000!$ at the end? 1 If a number ends with n zeros than it is divisible by 10n, that is 2n5n A factorial clearly has more 2 s than 5 s in its factorization so you only need to count how many 5 s are there in the factorization of 1000!
Solution Verification: How many positive integers less than $1000$ have . . . A positive integer less than 1000 1000 has a unique representation as a 3 3 -digit number padded with leading zeros, if needed To avoid a digit of 9 9, you have 9 9 choices for each of the 3 3 digits, but you don't want all zeros, so the excluded set has count 93 − 1 = 728 9 3 − 1 = 728
Find the sum of all the multiples of 3 or 5 below 1000 49 How to solve this problem, I can not figure it out: If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9 The sum of these multiples is 23 Find the sum of all the multiples of 3 or 5 below 1000
What is infinity divided by infinity? - Mathematics Stack Exchange I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
Expected value of a coin toss - Mathematics Stack Exchange You flip a coin If you get heads you win \\$2 if you get tails you lose \\$1 What is the expected value if you flip the coin 1000 times? I know that the expected value of flipping the coin once i