What are the different ways you can make twenty-four?

Answer 1

There are infinitely many ways.

First consider sums of two numbers:

12 + 12, 11 + 13, 10 + 14, ... , 1 + 23, 0 + 24, -1 + 25, -2 + 26, ...

Then cosider numbers to 1 decimal place (dp):

11.9 + 12.1, 11.8 + 12.2, ...

then pairs of numbers to 2 dp, 3 dp and so on, to infinitely many decimal places.

That's sums of pairs of number done.

Next consider sums of triplets, and then quartets, quintets, and so on, to infinitely many numbers.

So that's sums dealt with. Now start with multiplications. In much the same way as with addition, there are infinitely many pairs, triplets and so on.

After that you can start looking at exponential, inverse, logarithmic, trigonometric functions.