It is: 9C7 = 36
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.
In other words, how many 4 digit combination locks are there using the digits 0-9 on each wheel. There are 10×10×10×10 = 10⁴ = 10,000 such combinations.
There are 9C3 = 84 combinations.
To calculate the number of 4-digit combinations that can be made with 4 digits, we can use the formula for permutations. Since there are 10 possible digits (0-9) for each of the 4 positions, the total number of combinations is 10^4, which equals 10,000. This is because each digit can be selected independently for each position, resulting in a total of 10 choices for each of the 4 positions.
It is: 9C7 = 36
10,000
15
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.
There are 59049 combinations, all the way from 11111, 11112 through 99998, 99999. There are too many to list here.
Through the magic of perms and coms the answer is 729
120 combinations using each digit once per combination. There are 625 combinations if you can repeat the digits.
Each digit can appear in each of the 4 positions. There are 9 digits, therefore there are 9⁴ = 6561 such combinations.
In other words, how many 4 digit combination locks are there using the digits 0-9 on each wheel. There are 10×10×10×10 = 10⁴ = 10,000 such combinations.
If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.
Oh, what a happy little question! There are 100,000 different 6-digit combinations that can be made from 0 to 99. It's like painting a beautiful landscape with numbers - each combination is unique and special in its own way. Just imagine all the possibilities and let your creativity flow!
Oh, isn't that just lovely? You can create so many beautiful combinations using the numbers 1 through 9. Just think of all the possibilities waiting to be discovered! Keep exploring and let your imagination run wild with all the different combinations you can come up with.