There are 36 possible combinations.
There are 220 combinations. Do you want to know why this is the answer? (It's worth knowing because this is a widely used principle in mathematics.) There are 10 digits to choose from, four of them are to be chosen at a time and a combination of four can include more any given digit more than once. So the total number of 4-digit combinations (without insisting that there be any 2s in them) is (10+4-1)choose 4= 13 choose 4 = 715. If 2s are _not_ allowed then there would be 9 digits to choose from and the total number of 4-digit combinations would be (9+4-1) choose 4 = 12 choose 4 = 495. Then the number of 4-digit combinations in which anywhere from 1 to 4 2s are allowed would be 715 - 495 = 220.
If the order of the numbers are important, then this is a simple combination problem. There are 10 possible numbers to choose from for the first number. Then there are 9 options for the second number. Then there are 8 options for the third, and so on. Thus, the number of possible combinations can be calculated as 10x9x8x7x6x5. This comes out at 151,200 possible combinations.
In a set of 4 numbers, the number of combinations depends on how many numbers you want to choose from that set. If you want to choose all 4 numbers, there is only 1 combination. If you choose 2 numbers from the set, the number of combinations is calculated using the formula ( \binom{n}{r} = \frac{n!}{r!(n-r)!} ), which in this case would be ( \binom{4}{2} = 6 ). For different values of r (choosing 1, 2, or 3 numbers), the combinations would be 4, 6, and 4 respectively.
To calculate the number of 12-number combinations using numbers 1-36, we can use the formula for combinations: nCr = n! / r!(n-r)!, where n is the total number of items to choose from (36) and r is the number of items to choose (12). Plugging in the values, we get 36C12 = 36! / 12!(36-12)! = 36! / 12!24! = (363534*...25) / (121110...*1). This simplifies to 125,736,770 unique combinations.
True
yesThey are usually quite specific about which instruments (and how many of each) are used in their compositions.
he chose his instrument the trumpet because he wanted a brass instrument
beacause it is my hobby
10
The answer is 4,960.
There are 36 possible combinations.
The number of 4 different book combinations you can choose from 6 books is;6C4 =6!/[4!(6-4)!] =15 combinations of 4 different books.
There are 220 combinations. Do you want to know why this is the answer? (It's worth knowing because this is a widely used principle in mathematics.) There are 10 digits to choose from, four of them are to be chosen at a time and a combination of four can include more any given digit more than once. So the total number of 4-digit combinations (without insisting that there be any 2s in them) is (10+4-1)choose 4= 13 choose 4 = 715. If 2s are _not_ allowed then there would be 9 digits to choose from and the total number of 4-digit combinations would be (9+4-1) choose 4 = 12 choose 4 = 495. Then the number of 4-digit combinations in which anywhere from 1 to 4 2s are allowed would be 715 - 495 = 220.
If the order of the numbers are important, then this is a simple combination problem. There are 10 possible numbers to choose from for the first number. Then there are 9 options for the second number. Then there are 8 options for the third, and so on. Thus, the number of possible combinations can be calculated as 10x9x8x7x6x5. This comes out at 151,200 possible combinations.
Although you don't list the composers from whom you want us to choose, the name you require is Leonard Bernstein. (The lyrics were written by Stephen Sondheim.)
Code Black offers a variety of combinations to choose from and each one is more gratifying