# RektTheNoob

 Username RektTheNoob Score 385 Stats Questions 66 Answers 19

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### How many of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit?

RektTheNoob  Sep 14, 2018
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69
1
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### Determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.

RektTheNoob  Aug 1, 2018
+1
251
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### Gretchen has eight socks, two of each color: magenta, cyan, black, and white. She randomly draws four socks. What is the probability that sh

RektTheNoob  Feb 28, 2018
+1
146
2
+385
RektTheNoob  Feb 27, 2018
+1
96
0
+385

### Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (th

RektTheNoob  Feb 27, 2018
+1
261
1
+385

### In how many ways can seven beads of distinct colors be put on the hexagonal grid shown, if reflections and rotations of an arrangement are c

RektTheNoob  Feb 27, 2018
+1
227
2
+385

### Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is

RektTheNoob  Feb 4, 2018
+1
359
1
+385

### Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (th

RektTheNoob  Feb 4, 2018
+1
438
11
+385

### If Greg rolls four fair six-sided dice, what is the probability that he rolls more 1's than 6's?

RektTheNoob  Feb 2, 2018
+1
180
3
+385

### When the expression $(2^1)(2^2)(2^3)\cdots (2^{99})(2^{100})$ is written as an integer, what is the product of the tens digit and the ones d

RektTheNoob  Feb 2, 2018
+1
210
1
+385
RektTheNoob  Feb 1, 2018
+1
371
4
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### Six 6-sided dice are rolled. What is the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2? Express you

RektTheNoob  Feb 1, 2018
+1
209
3
+385

### 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  Feb 1, 2018
+1
282
1
+385

### Given that $x$ is a multiple of $23478$, what is the greatest common divisor of $f(x)=(2x+3)(7x+2)(13x+7)(x+13)$ and $x$?

RektTheNoob  Feb 1, 2018
+1
472
7
+385

### Mike draws five cards from a standard 52-card deck. What is the probability that he draws a card from at least three of the four suits? Expr

RektTheNoob  Jan 28, 2018
+1
375
7
+385

### What is the smallest positive integer $n$ for which $(12{,}500{,}000)\cdot n$ leaves a remainder of $111$ when divided by $999{,}999{,}999$?

RektTheNoob  Jan 28, 2018