To calculate the number of possible combinations from 10 items, you can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of items (10) and r is the number of items you are choosing in each combination (which can range from 1 to 10). So, if you are considering all possible combinations (r=1 to 10), the total number of combinations would be 2^10, which is 1024.
To calculate the number of different 4-digit combinations that can be made using numbers 0 through 9, we use the concept of permutations. Since repetition is allowed, we use the formula for permutations with repetition, which is n^r, where n is the number of options for each digit (10 in this case) and r is the number of digits (4 in this case). Therefore, the number of different 4-digit combinations that can be made using numbers 0 through 9 is 10^4, which equals 10,000 combinations.
To calculate the number of combinations of 5 numbers chosen from 1 to 30, we use the combination formula which is nCr = n! / (r!(n-r)!). In this case, n = 30 and r = 5. Plugging these values into the formula, we get 30! / (5!(30-5)!) = 142,506 total combinations.
To calculate the number of combinations of 4 numbers out of 45, we use the combination formula, which is nCr = n! / (r!(n-r)!). In this case, n = 45 (total numbers) and r = 4 (numbers chosen). Plugging these values into the formula, we get 45C4 = 45! / (4!(45-4)!) = 45! / (4!41!) = (45 x 44 x 43 x 42) / (4 x 3 x 2 x 1) = 1,086,132. Therefore, there are 1,086,132 possible combinations of 4 numbers chosen from 45.
nCr=n!/r!/(n-r)!
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
The number of R-combinations in a set of N objects is C= N!/R!(N-R)! or the factorial of N divided by the factorial of R and the Factorial of N minus R. For example, the number of 3 combinations from a set of 4 objects is 4!/3!(4-3)! = 24/6x1= 4.
10,000
To calculate the number of 4-number combinations possible with 16 numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n = 16 (the total number of numbers) and r = 4 (the number of numbers in each combination). Plugging these values into the formula, you would calculate 16C4 = 16! / 4!(16-4)! = 1820. Therefore, there are 1820 possible 4-number combinations with 16 numbers.
Oh, what a lovely question! To find the number of 5-number combinations from 59 numbers, we can use a formula called combinations. It's like mixing colors on your palette! The formula is nCr = n! / r!(n-r)!, where n is the total numbers (59) and r is the number of selections (5). So, for 59 numbers choosing 5 at a time, there are 5,006,386 unique combinations waiting to be discovered! Just imagine all the beautiful possibilities that can come from those combinations.
There are 120 combinations of 5 items, which can be calculated using the formula nCr = n! / r!(n - r)!.
To calculate the number of possible combinations from 10 items, you can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of items (10) and r is the number of items you are choosing in each combination (which can range from 1 to 10). So, if you are considering all possible combinations (r=1 to 10), the total number of combinations would be 2^10, which is 1024.
Just use combinations formula. nCr, where n=44, r=6. Plug it into the calculator or use the formula, nCr = n!/[r!(n-r)!] And you should get 7059052 as the number of combinations.
If you have n objects and you are choosing r of them, then there are nCr combinations. This is equal to n!/( r! * (n-r)! ).
To calculate the number of different 4-digit combinations that can be made using numbers 0 through 9, we use the concept of permutations. Since repetition is allowed, we use the formula for permutations with repetition, which is n^r, where n is the number of options for each digit (10 in this case) and r is the number of digits (4 in this case). Therefore, the number of different 4-digit combinations that can be made using numbers 0 through 9 is 10^4, which equals 10,000 combinations.
To calculate the number of combinations of 5 numbers chosen from 1 to 30, we use the combination formula which is nCr = n! / (r!(n-r)!). In this case, n = 30 and r = 5. Plugging these values into the formula, we get 30! / (5!(30-5)!) = 142,506 total combinations.
To calculate the number of combinations of 4 numbers out of 45, we use the combination formula, which is nCr = n! / (r!(n-r)!). In this case, n = 45 (total numbers) and r = 4 (numbers chosen). Plugging these values into the formula, we get 45C4 = 45! / (4!(45-4)!) = 45! / (4!41!) = (45 x 44 x 43 x 42) / (4 x 3 x 2 x 1) = 1,086,132. Therefore, there are 1,086,132 possible combinations of 4 numbers chosen from 45.