Question

64 Complaints about works canteen had been about Mess (M) Food (F) and Service (S). Total
complaints 173 were received as follows: -
n(M)=110, n(F) = 55, n(S) = 67, n(
MFS) = 20, n(
MSF') = 11
and n(
FSM') = 16. Determine the complaints about two or more than two.
(a) 6(b) 53
(c) 35
(d) None​

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

Answer:

Given:

 n(M) = 110, n(F) = 55, n(S) = 67, n(M n F n S') = 20, n(M n S n S') = 11, n(M u F u S) = 173 and n(F n S n M') = 16.

Let the complaints about all three be 'x' which is n(M n F n S)

Now we know that,

⇒ n(M u F u S) = n(M) + n(F) + n(S) - n(M n F) - n(M n S) - n(S n F) + n(M n F n S)

⇒ 173 = 67 + 110 + 55 - 11 - x - 20 - x - 16 - x + x

⇒ 173 = 232 - 47 - 2x

⇒ 2x = 12

⇒ x = 6

⇒ n(M n F n S) = 6

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