How Many Combinations Can You Create with Variables A, B, and C?

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In summary, there are 192 possible values for A, 20 for B, and 35 for C, resulting in a total of 192*20*35 = 134,400 possible combinations. This can also be calculated by taking the product of the number of choices for each variable (10*10*10 = 1,000) and then subtracting the combinations that have all three variables as 0 (10*10*10 = 1,000).
  • #1
bradyj7
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Hi,

If you have 3 variables A, B and C.

Variable A can range from 5 to 960 in blocks of 5 (192 blocks).

Variable B can range from 0 to 100 in blocks of 5 ( 20 blocks)

Variable C can range from 2 to 70 in blocks of 2 ( 35 blocks).

How many combinations of the numbers can you have?

For example

5 0 2
10 0 2
15 0 2


Thanks
 
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  • #2
Is this homework?

Consider a similar situation: Three variables which can have a value from 0 to 9 (10 choices each). Every combination can be read as a 1- to 3-digit number (dropping leading zeros). How many numbers are there? How can you calculate that number?

Your setup is very similar, and the result can be calculated with the same approach.
 

Related to How Many Combinations Can You Create with Variables A, B, and C?

1. What is a "possible combination question"?

A possible combination question is a type of problem in mathematics and statistics that involves determining the number of ways a group of items or elements can be combined or arranged. These types of questions often involve the use of permutations or combinations.

2. How do I solve a possible combination question?

To solve a possible combination question, you first need to identify whether the problem is asking for permutations or combinations. Then, use the appropriate formula to calculate the number of possible combinations. Finally, plug in the given numbers and solve the equation to find the answer.

3. Can you give an example of a possible combination question?

Sure, here's an example: If there are 5 different flavors of ice cream and you can choose 2 scoops, how many different combinations of ice cream can you make? The answer would be 10, as you can choose 2 scoops from a total of 5 flavors, giving you 5 options for the first scoop and 4 options for the second scoop (since you cannot choose the same flavor twice), resulting in 5 x 4 = 10 possible combinations.

4. Why are possible combination questions important?

Possible combination questions are important because they help us understand and solve real-world problems involving combinations and arrangements. They are also used in various fields such as in computer science, genetics, and cryptography.

5. What are some common mistakes people make when solving possible combination questions?

Some common mistakes people make when solving possible combination questions include mixing up the formulas for permutations and combinations, not accounting for repetition or order, and not considering all the given elements or restrictions in the problem. It is important to carefully read and understand the problem before attempting to solve it.

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