Well, honey, since you're picking 12 numbers out of 24, you're looking at a combination situation. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items you're choosing. So, in this case, it would be 24C12 = 24! / (12!(24-12)!). Plug that into a calculator, and you'll get your answer. Math can be a real hoot, can't it?
To calculate the number of combinations with three numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of numbers you have to choose from, and r is the number of numbers you are choosing. So, if you have three numbers to choose from, there would be 3C3 = 3! / 3!(3-3)! = 6 / (6*0!) = 6 / 6 = 1 combination.
To find the number of combinations to make 40 using the numbers 12 and 4, we can use a mathematical approach. Since we are looking for combinations, not permutations, we need to consider both the order and repetition of the numbers. One way to approach this is by using a recursive formula or dynamic programming to systematically calculate the combinations. Another approach is to use generating functions to represent the problem and then find the coefficient of the term corresponding to 40 in the expansion of the generating function. Both methods require a deep understanding of combinatorics and mathematical algorithms to accurately determine the number of combinations.
There are 12 different combinations of 3 positive odd numbers that add up to 21. Namely: (There are many permutations of these combinations.) 1,1,9 1,3,17 1,5,15 1,7,13 1,9,11 3,3,15 3,5,13 3,7,11 3,9,9 5,5,11 5,7,9 7,7,7
If the sequence is important, then there are (12 x 11 x 10 x 9 x 8) = 95,040 different ones. If only the members of the group are important but not their the sequence, then there are 95,040 / (5 x 4 x 3 x 2 x 1) = 792 combinations, each with different members. The formulas are: Permutations = 12! / 7! Combinations = 12! / (7! x 5!)
You would get 4!/2! = 12 combinations.
There are 24C12 = 24*23*...*13/(12*11*...*1) = 2,704,156 combinations.
There are 12C4 4 NUMBER combinations. And that equals 12*11*10*9/(4/3/2/1) = 495 combinations. However, some of these, although 4 number combinations consist of 7 digits eg 1, 10, 11, and 12. Are you really sure you want 4-DIGIT combinations?
30
Only three: 12, 13 and 23. Remember that the combinations 12 and 21 are the same.
If they can repeat, then: 17^6=24,137,569 If they can't repeat, then: 17*16*15*14*13*12=8,910,720
26 = 64 combinations, including the null combination - which contains no numbers.
Well, honey, since you're picking 12 numbers out of 24, you're looking at a combination situation. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items you're choosing. So, in this case, it would be 24C12 = 24! / (12!(24-12)!). Plug that into a calculator, and you'll get your answer. Math can be a real hoot, can't it?
To calculate the number of combinations with three numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of numbers you have to choose from, and r is the number of numbers you are choosing. So, if you have three numbers to choose from, there would be 3C3 = 3! / 3!(3-3)! = 6 / (6*0!) = 6 / 6 = 1 combination.
1 and 11 and 21 and 31 and 42 and 12 and 22 and 32 and 43 and 13 and 23 and 33 and 44 and 14 and 24 and 34 and 416 combinations
There are 4 numbers between 0 and 3. Had this been a permutation problem, the answer would be 4!/2!=4*3=12, but this is a combinations problem. Since the duplicates (12 vs 21) come in pairs of 2, we divide the permutaions solution by 2!. Since 2! is just 2, 12/2 = 6 combinations in total.
To find the number of combinations to make 40 using the numbers 12 and 4, we can use a mathematical approach. Since we are looking for combinations, not permutations, we need to consider both the order and repetition of the numbers. One way to approach this is by using a recursive formula or dynamic programming to systematically calculate the combinations. Another approach is to use generating functions to represent the problem and then find the coefficient of the term corresponding to 40 in the expansion of the generating function. Both methods require a deep understanding of combinatorics and mathematical algorithms to accurately determine the number of combinations.