Final answer:
To find the value of n(u), we can use the principle of inclusion-exclusion based on the given information. By substituting the values given in the equations and performing the necessary calculations, we find that n(u) = 9.5.
Step-by-step explanation:
To find the value of n(u), we can use the principle of inclusion-exclusion. Based on the given information, we have:
- n(R'ns) + n(R'ns) = 3
- n(Rns) = 4
- n(s'nR) = 7
Using these equations, we can calculate the value of n(u) as follows:
- Substitute the values given in the equations:
n(R'ns) + n(R'ns) = 3
2n(R'ns) = 3
n(R'ns) = 1.5
- Subtract the value of n(R'ns) from the value of n(Rns):
n(Rns) - n(R'ns) = 4 - 1.5
n(Rns) - n(R'ns) = 2.5
- Substitute the value of n(s'nR) into the equation:
n(u) = n(Rns) + n(s'nR) - n(R'ns)
n(u) = 4 + 7 - 1.5
n(u) = 9.5
Therefore, the value of n(u) is 9.5.