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Find n_R, given the following sets:

P={b,d,f,g}
Q={a,b,c,d}
R={c,e,f,g}
S={a,d,g}

a)n_R=2

b)n_R=4

c)n_R=3

d)n_R=1

1 Answer

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Final answer:

To find n_R, we need to find the number of elements in set R, which is the intersection of sets P and S. Set R has 2 elements.

Step-by-step explanation:

To find nR, we need to find the number of elements in set R, which is the intersection of sets P and S.

Given the sets:

  • P = {b, d, f, g}
  • Q = {a, b, c, d}
  • R = {c, e, f, g}
  • S = {a, d, g}

We can find the intersection of P and S by looking at the elements that are common to both sets:

  • Intersection of P and S = {d, g}

Therefore, nR = 2, which means set R has 2 elements.

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