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How much zeros has the number $1000!$ at the end? If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 s are there in the factorization of 1000! 1000!
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
How to calculate 1 in _______ chance from a percentage? I am wondering, how do I ago about calculating 1 in chances from a percentage? Example: A 1 in 2 chance is 50% and 0 5 as a decimal What I want to do: I have the value 0 1431 (14 3%) and want to
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
determining the number of bits required to represent a number in binary I think you are (rightly) a little confused by the wording of the example in your textbook The example is interpreting the question "how many bits do you need to represent 48 48?" to mean "what is the minimum number of bits needed to represent 48 48?" The lower bound 31 <48 31 <48 is then relevant: and it should be a strict inequality: << not ≤ ≤ So -2 to your textbook!
combinatorics - Probability of winning a prize in a raffle . . . You'll be surprised The correct probability of winning at least one ticket is around 0 2242 0 2242 Assuming exactly one prize is given, your answer of 1160 1 160 is the probability of winning is correct That is, you go home empty-handed with probability 159 160 159 160 However, 40 40 tickets are chosen for prizes, not just one So even if you miss out on a prize the first time, you could