If you earned $650.00 and your expenses were $256.90, what are your savings?
1 answer:
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Firstly, we'll fix the postions where the women will be. We have
forms to do that. So, we'll obtain a row like:
The n+1 spaces represented by the underline positions will receive the men of the row. Then,
Since there is no women sitting together, we must write that . It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:
The equation (i) can be rewritten as:
We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known:
[I can write the proof if you want]
Now, we just have to calculate the number of forms to permute the men that are dispposed in the row:
Multiplying all results:
Answer:
Step-by-step explanation:
=3x^4/x^16
bring "x^4" to the bottom to subtract it with x^16
3/x^16*x^-4
3/x^12
hope this helps!