What area of mathematics is responsible for counting the number of possible options (example)?

Actually the question itself.

An example of what you count. You need to determine how many possible combinations can be in this line:

a1_a2_a3_a4_a5_a6
When it is known that each variable can take a value from 0 to 100 and the sum of all variables is always equal to 100. Need to know how many possible strings can exist.
April 4th 20 at 13:27
1 answer
April 4th 20 at 13:29
Solution
Combinatorics.

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