4 options how many combinations?
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You multiply these choices together to get your result: 4 x 3 x 2 (x 1) = 24. Combinations and permutations are often confused by students - they are related, but they mean different things and can lead to totally different interpretations of situations and questions.
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Said another way, there are 11,238,513 possible number combinations giving 5 choices between 1 and 69. For the second part of the Powerball, you have to pick one number from 26 possible numbers. Thus, you simply multiply your odds from the first part by 26 to get 292,201,338.
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Powerball players must select five different numbers, from 1 to 45, and one powerball number, from 1 to 45. That means there are 45 x 44 x 43 x 42 x 41 possible combinations of the five numbers and 45 possible powerballs. Do the multiplication and you get 6.6 billion possible combinations.
10234
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.
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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. We want to select 13 cards, so r = 13.
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Well, there are 6 choices for the first stripe, 5 for the second, 4 for third, 3 for the fourth, 2 for the fifth, and 1 for the last stripe. In other words, there are 6! = 720 different arrangements for these six colors. So, the number of combinations is 720 / 720 = 1.
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24. Well you have n choices for the nth digit. In your case you have 4 digits. So 4x3x2x1=24 combinations of all 4 digits with none repeating.
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So there are possible numbers of length 4. It's easy. The first digit can be 1,2,3,4,5 or 6 (6 combinations). We choose the second,third and fourth digit the same way we did it with the first (so it's 6*6*6 combinations) and the final answer is 6*6*6*6=1296 combinations.
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However, as we have 4 slots, which need to be all filled at the same time in order to form a 4-digit number, we have to multiply the number of possibilities for each slot together, ie. 2 x 2 x 2 x 2 = = 16. Thus, 16 permutations are made possible.
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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: There are 9,999 different combinations in a 4-digit lock.', 'Explanation: The 4-digit number on a lock begins from 0000 and ends up to 9999 which are:', 'From 0000 to 0999 there are 999 combinations. ( ... ', 'From 1,000 to 9,999 there are 8,999 combinations (9,000)', 'And now we have 1,000+9,000=10,000 combinations total.']
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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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Hi Mike. If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
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There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times.
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Explanation: There are 5 choices for the first digit. giving 5×5=25 possible combinations. giving 5×4=20 possible combinations.
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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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When you choose an eight-number Combination Play, the eight numbers are arranged in combinations of seven numbers, giving you eight unique selections. For each such unique selection, you also receive two sets of computer-generated numbers, for a total of 24 seven-number combinations.