how many possible combinations of moves in chess?
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After both players move, 400 possible board setups exist. After the second pair of turns, there are 197,742 possible games, and after three moves, 121 million. At every turn, players chart a progressively more distinctive path, and each game evolves into one that has probably never been played before.
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There are 8,324,608 possible combinations of 23 chromosome pairs. As a result, two gametes virtually never have exactly the same combination of chromosomes. Each chromosome contains dozens to thousands of different genes.
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There are 40,475,358 possible 6-number combinations that can be formed from numbers 1-58 . To determine this, the Combination formula is used. n choose k equals the factorial of n (divided by) all over the factorial of k times (or multiplied by) the factorial of n minus k.
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Originally Answered: How many different ways can you make combinations of 3 letters out of the five-letter word LEARN? So, 60 different combinations of 3 letters out of 5 given letters can be formed.
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Review the formula for combinations. The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
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But why is this? With three columns, each with ten possibilities, the number of total combinations is 10 × 10 × 10, or 1000. With three switches, each with two possibilities, the number of total combinations is 2 × 2 × 2, or 8.
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['King can move exactly one square horizontally, vertically, or diagonally. ... ', 'Queen can move any number of vacant squares diagonally, horizontally, or vertically.', 'Rook can move any number of vacant squares vertically or horizontally. ... ', 'Bishop can move any number of vacant squares in any diagonal direction.']
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Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.
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Enter your objects (or the names of them), one per line in the box below, then click "Show me!" to see how many ways they can be arranged, and what those arrangements are. Note: 8 items have a total of 40,320 different combinations.
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When you choose a nine-number Combination Play, the nine numbers are arranged in combinations of seven numbers, giving you 36 unique selections. For each such unique selection, you also receive two sets of computer-generated numbers, for a total of 108 seven-number combinations.
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Let's consider two players are playing the game, so there are 3 possibilities for the first person( Rock/Paper/Scissor). Again, for the second person, there are 3 same possibilities. Now on combining both we get: 3*3 = 9. So, there are 9 possible combinations in all.
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Dana F Anderson, Just interested in math is all. Kinda a hobby. Assuming the digits 0 through 9 can be used, and a number can be repeated in the combination, then there are 10^3 possible combinations (1000 - from 000 to 999). If three different numbers have to be used, then 10 x 9 x 8 = 720 possible combinations.
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reto wrote: How many different 4 letter combinations can be created from the letters A,B,C, and D? This is a case of number of arrangements possible with repetition. Thus you have 4 options each for the 1st,2nd,3rd and 4th letter giving you a total of 4*4*4*4 = 256 number of possible combinations.
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Answer: There are 9,999 different combinations in a 4-digit lock. And now we have 1,000+9,000=10,000 combinations total.
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There are 10,000 possible combinations. Start at 0001, then 0002, then 0003...and work your way to 9999. Don't forget to try 0000 as well. You can also start at 9999 and work your way down to 0000 if you'd rather.
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Answer and Explanation: There are 216 possible combinations with 3 standard dice. Each die has 6 possible outcomes because it has 6 sides. The number of possible combinations...
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-- we're in a position to answer your original question. With 8 items on your menu, the number of possible combinations will be 28 = 256. And if you bought all 8 items, and tried to arrange them in different orders on your tray, the number of arrangements ('permutations') would be 8! = 40320.