Small combination question

[frenchsasha]

Havent done math in 5 years. Starting to relearn everything from scratch. I was wondering about this question. Maybe you could help me. Is there a formula to calculate the amount of combinations possible for this problem.

You have 2 empty boxes. You have 2 sets of blocks. Set A is green and numbered from 0-9. Set B is red and numbered from 10-34.
How many ways can you arrange that 1 block goes into 1 box. (The blocks are not removed, and you can have the same block put into both boxes)

Appreciate your help!

 

[Dr.Peterson]

Havent done math in 5 years. Starting to relearn everything from scratch. I was wondering about this question. Maybe you could help me. Is there a formula to calculate the amount of combinations possible for this problem.

You have 2 empty boxes. You have 2 sets of blocks. Set A is green and numbered from 0-9. Set B is red and numbered from 10-34.
How many ways can you arrange that 1 block goes into 1 box. (The blocks are not removed, and you can have the same block put into both boxes)

Appreciate your help!

I don't know what it even means! Are we putting one block into one box, and all the rest into the other? How can a block be in both boxes at once? This looks nothing like any combinatorics question I've seen.

Please state the entire original question, and tell us what you have learned, or otherwise what the context is.

 

[frenchsasha]

I don't know what it even means! Are we putting one block into one box, and all the rest into the other? How can a block be in both boxes at once? This looks nothing like any combinatorics question I've seen.

Please state the entire original question, and tell us what you have learned, or otherwise what the context is.

Sorry for not making it clearer! This question doesn't really exist, I made it up myself. The context being: I was watching a video on factorials/permutations and they mentioned counting using hexes. So the first set of data is from 0-9 and then the next set is from A-Z. For example there would be two slots available for this data. How many different ways can you arrange those two slots with the data from the sets.

Now that I'm typing this out, it seems a biteasier to understand. I could be also totally wrong. So you just power the number of unique values by the number of empty slots. so 34^2.

Is that right? jesus I havent donemath in so long. What if I wanted to take a value out each time they were 'used' how does one come up with general formulas for problems such as these without resorting to writing code? I could do the second question in code, but was wondering how you could do it mathematically. sorry if this is way too crazy or too long