answersLogoWhite

0

This is an ambiguous question. Are you asking for the number of combinations, or to actually list them? Since we haven't been given the 8 numbers, I assume the former. Are you asking for the number of combinations of 4 different numbers selected from the given 8, or are duplicates allowed?

The latter is kind of complicated. The number of permutations of 4 numbers selected from 8 given numbers (or any 8 things) is very easy: since each of the 4 positions in the sequence can be any of the 8, you get 8 raised to the 4th power, which is 4096. But to get the number of combinations, you have to eliminate the duplications, and the number of duplications for a permutation depends on the number of repetitions within the permutation itself. For example, the permutation (1, 2, 1, 2) has 2 pairs; you need to count the number of combinations of the 4 positions where the 1s can go, and the other 2 positions would have 2s. That number turns out to be 6, but if there is only 1 pair, as in (1, 1, 2, 3) you have 6 pairs of positions to put the 1s in, and 2 ways of ordering the 2 and the 3, so you get 12. I could go on and on.

If you don't allow duplications, then you have 8 x 7 x 6 x 5 possible permutations, which is 1,680. Each of these can be ordered 4 x 3 x 2 x 1 ways, which is 24. Dividing 1,680 by 24 gives 70 combinations

User Avatar

Wiki User

13y ago

What else can I help you with?

Continue Learning about Algebra

How many combinations of 4 numbers from 8 numbers?

To calculate the number of combinations of 4 numbers from 8 numbers, you would use the combination formula, which is nCr = n! / (r!(n-r)!). In this case, n = 8 and r = 4. Plugging these values into the formula, you get 8C4 = 8! / (4!(8-4)!) = 70. Therefore, there are 70 possible combinations of 4 numbers that can be chosen from a set of 8 numbers.


How many combinations for numbers 1248?

To calculate the number of combinations for the numbers 1248, we need to consider all possible arrangements of the four digits. Since all the digits are unique, there are 4 factorial (4!) ways to arrange them. This equals 4 x 3 x 2 x 1 = 24 combinations.


How many combinations of 6 numbers are there in 10 numbers?

The answer is 10!/[6!*(10-6)!] where n! represents 1*2*3*...*n Number of combinations = 10*9*8*7*6*5*4*3*2*1/(6*5*4*3*2*1*4*3*2*1) = 10*9*8*7/(4*3*2*1) = 210


How many 4 number combinations are there using numbers 0088?

Oh honey, let me break it down for you. With the numbers 0 and 8 repeated twice, you're looking at a total of 4!/(2!2!) = 6 combinations. So, you've got 0088, 0808, 0880, 8008, 8080, and 8800. That's all she wrote, darling.


How many 10 number combinations can be made out of 10 numbers?

If you are assuming you can repeat any of the numbers then: nx where n=number of options and x= number of spaces using the formula assuming all numbers 0-9 then: 1010 10,000,000,000 is your answer. If numbers can not repeat and have to be used we use the formula: n! Where n is the number of options.Since you want 10 numbers we will do 10! 10! 10*9*8*7*6*5*4*3*2*1 362880 is your answer.

Related Questions

How many numbers can you make with 3 7 8 9?

14 * * * * * Wrong! There are 15. 4 combinations of 1 number, 6 combinations of 2 number, 4 combinations of 3 numbers, and 1 combination of 4 numbers.


How many combinations can you make with the numbers 2 3 6 7 and 8?

You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.


What are the possible combinations of numbers 0 through 9 if any numbers cannot be repeated?

There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.


What are all the possible number combinations for 4 digit odd numbers for 7 5 4 and 8?

16


How many combinations of 4 numbers from 8 numbers?

To calculate the number of combinations of 4 numbers from 8 numbers, you would use the combination formula, which is nCr = n! / (r!(n-r)!). In this case, n = 8 and r = 4. Plugging these values into the formula, you get 8C4 = 8! / (4!(8-4)!) = 70. Therefore, there are 70 possible combinations of 4 numbers that can be chosen from a set of 8 numbers.


How many 4 number combinations using 2 3 4 5 6 7 8?

The number of combinations of 4 numbers out of 8 is 8C4= (8*7*6*5/(4*3*2*1) = 70.In a combination, the order of the numbers does not matter so that 2345, 2454, 4523 etc are all counted as 1.The number of combinations of 4 numbers out of 8 is 8C4= (8*7*6*5/(4*3*2*1) = 70.In a combination, the order of the numbers does not matter so that 2345, 2454, 4523 etc are all counted as 1.The number of combinations of 4 numbers out of 8 is 8C4= (8*7*6*5/(4*3*2*1) = 70.In a combination, the order of the numbers does not matter so that 2345, 2454, 4523 etc are all counted as 1.The number of combinations of 4 numbers out of 8 is 8C4= (8*7*6*5/(4*3*2*1) = 70.In a combination, the order of the numbers does not matter so that 2345, 2454, 4523 etc are all counted as 1.


How many box combinations of 4 numbers from 8 numbers?

two


How many 4 number combinations are their using numbers 0 9?

10,000 * * * * * WRONG! That is the number of permutations, NOT the number of combinations. The number of combinations denoted by nCr = n!/[r!*(n-r)!] = 10!/[4!*6!] = 10*9*8*7/(4*3*2*1) = 210


What is the list of 5 number combinations from the following numbers 1-2-3-4-5-6-7-8?

The list of 5 number combinations from the numbers 1-2-3-4-5-6-7-8 includes various groupings. For example, some combinations are: (1, 2, 3, 4, 5), (2, 3, 4, 5, 6), (3, 4, 5, 6, 7), (4, 5, 6, 7, 8), and (1, 3, 5, 7, 8). The total number of unique combinations can be calculated using combinatorial methods.


How many 7 number combinations from 8 numbers?

To calculate the number of 7-number combinations from 8 numbers, you can use the combination formula, which is nCr = n! / r!(n-r)!. In this case, n = 8 (total numbers) and r = 7 (numbers chosen). Plugging these values into the formula, you get 8C7 = 8! / 7!(8-7)! = 8 ways. Therefore, there are 8 different combinations of 7 numbers that can be chosen from a set of 8 numbers.


How many combination of 4 digits can be made from the numbers 1-8?

Oh, what a lovely question! You see, when we have 8 numbers and we want to choose 4 of them, we can use a special formula called combinations. The number of combinations we can make is calculated using the formula 8! / (4! * (8-4)!), which simplifies to 70 combinations. Isn't that just delightful? Just imagine all the beautiful possibilities waiting to be created!


What 4 number combinations can you get by using numbers 0-9?

There are 10C4 = 10*9*8*7/(4*3*2*1) combinations of 4 digits that are all different. That is, 210 of them, and I have no inclination to list them.