# RektTheNoob

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### The digits $1,2,3,4$ and $5$ can be arranged to form many different $5$-digit positive integers with five distinct digits. In how many such

RektTheNoob  Sep 6, 2017
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### While staying in a 15-story hotel, Polya plays the following game. She enters an elevator on the $6^{\mathrm{th}}$ floor. She flips a fair c

RektTheNoob  Sep 2, 2017
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### Alicia has $n$ candies, where $n$ is a positive integer with three digits. If she buys $5$ more, she will have a multiple of $8$. If she los

RektTheNoob  Sep 2, 2017
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### In a lottery, a ticket costs $\$3$, and the jackpot is worth$\$250000$. In all, $100000$ tickets are sold, one ticket is randomly drawn, an

RektTheNoob  Aug 31, 2017
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### In right triangle $FGH$ with $\angle H = 90^\circ$, we have $FG = 17$ and $HG = 15$. Find $\sin G$.

RektTheNoob  Aug 14, 2017
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### Let $n$ be a positive integer and let $k$ be the number of positive integers less than $2^n$ that are invertible modulo $2^n$. If $2^n\equiv RektTheNoob Aug 13, 2017 0 610 1 +473 ### Let$m$and$n$denote the greatest and least positive three-digit multiples of 7, respectively. What is the value of$m + n$? RektTheNoob Aug 13, 2017 0 688 1 +473 ### What is the slope of the line that is tangent to a circle at point (5,5) if the center of the circle is (3,2)? Express your answer as a comm RektTheNoob Aug 13, 2017 0 788 1 +473 ### In a lottery, a ticket costs$\$3$, and the jackpot is worth $\$250000$. In all,$100000$tickets are sold, one ticket is randomly drawn RektTheNoob Aug 13, 2017 0 532 1 +473 ### Determine the number of integers$x$such that$0\le x< 12$and$x\$ satisfies the following system of equations:

RektTheNoob  Aug 13, 2017