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  • ...6 retain their original positions. Find the number of cards in the magical stack in which card number 131 retains its original position. ...in the new pile. Since 131 is odd and retains its original position in the stack, it must be in pile A. Also to retain its original position, exactly <math>
    2 KB (384 words) - 23:31, 25 July 2018
  • ...stack, the stack is named magical. Find the number of cards in the magical stack in which card number 131 retains its original position.
    7 KB (1,119 words) - 20:12, 28 February 2020
  • ...t on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible
    6 KB (983 words) - 04:06, 20 February 2019
  • ...t on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible ...e are <math>{8\choose4} = 70</math> ways to position the gold coins in the stack of 8 coins, which determines the positions of the silver coins.
    5 KB (830 words) - 00:51, 1 March 2023
  • ...ted <math>8</math> more times. After the last fold, the strip has become a stack of <math>1024</math> unit squares. How many of these squares lie below the
    6 KB (899 words) - 19:58, 12 May 2022
  • ...cess is repeated 8 more times. After the last fold, the strip has become a stack of 1024 unit squares. How many of these squares lie below the square that w
    9 KB (1,410 words) - 04:05, 20 February 2019
  • ...w in ascending order: <math>1,2,3,\ldots,1999,2000.</math> In the original stack of cards, how many cards were above the card labeled <math>1999</math>?
    7 KB (1,204 words) - 02:40, 4 January 2023
  • We have the smallest stack, which has a height of <math>94 \times 4</math> inches. Now when we change ...\boxed{465}</math> numbers. That's the number of changes you can make to a stack of bricks with dimensions <math>4 \times 10 \times 19</math>, including not
    4 KB (645 words) - 23:45, 15 November 2024
  • ...w in ascending order: <math>1,2,3,\ldots,1999,2000.</math> In the original stack of cards, how many cards were above the card labeled <math>1999</math>? ...find that 1999 has position <math>1024</math> in a <math>2048</math> card stack, where the fake cards towards the front.
    15 KB (2,673 words) - 18:16, 6 January 2024
  • ...tack is completed by a single row of oranges. How many oranges are in the stack? ...>5\times8=40</math> oranges on the <math>1^{\text{st}}</math> layer of the stack. The <math>2^{\text{nd}}</math> layer that is added on top of the first wil
    1 KB (180 words) - 00:14, 12 April 2022
  • ...tack is completed by a single row of oranges. How many oranges are in the stack?
    15 KB (2,092 words) - 19:32, 15 April 2024
  • ...h>R_5</math> evenly divides, so <math>R_5</math> must be at one end of the stack and <math>B_5</math> must be the card next to it. ...h>R_4</math> evenly divides, so <math>R_4</math> must be at one end of the stack and <math>B_4</math> must be the card next to it.
    2 KB (368 words) - 17:04, 28 December 2020
  • ...ck on the "Build Current File" icon (it's the down-pointing arrow over the stack of papers, just to the right of the "LaTeX => PDF" bar).
    6 KB (1,112 words) - 07:03, 22 August 2023
  • ...k. Approximately how many sheets of this type of paper would there be in a stack <math>7.5</math> cm high?
    12 KB (1,670 words) - 17:56, 2 December 2024
  • ...osen at random. Let <math>\frac {m}{n}</math> be the probability that the stack of crates is exactly <math>41</math> ft tall, where <math>m</math> and <mat
    9 KB (1,536 words) - 23:46, 25 August 2023
  • ...osen at random. Let <math>\frac {m}{n}</math> be the probability that the stack of crates is exactly <math>41\mathrm{ft}</math> tall, where <math>m</math> ...0!}{8!1!1!} = 90</math>. Also, there are <math>3^{10}</math> total ways to stack the crates to any height.
    6 KB (909 words) - 00:20, 5 January 2025
  • ...these coins is exactly <math>14</math> mm high, how many coins are in the stack?
    14 KB (2,137 words) - 14:29, 9 June 2024
  • ...k. Approximately how many sheets of this type of paper would there be in a stack <math>7.5</math> cm high?
    1 KB (230 words) - 08:22, 10 January 2023
  • ...these coins is exactly <math>14</math> mm high, how many coins are in the stack? The thinnest coin is the dime, with thickness <math>135</math>. A stack of <math>n</math> dimes has height <math>135n</math>.
    3 KB (480 words) - 20:35, 30 September 2024
  • ...tower will be <math>9</math> stacks long, there is no way a <math>1</math> stack can be <math>10</math> long and carry over its value. Thus, it is sufficien
    3 KB (431 words) - 13:29, 26 December 2024

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