Solution:
|
Since a committee of two is be formed
from three Men and two Women,
|
|
Sample Space = { M1M2, M1M3, M1W1,
M1W2, M2M3, M2W1, M2W2, M3W1, M3W2, W1W2}
|
|
Let P = Event of forming a committee
which contains atleast one woman
|
|
P = { M1W1, M1W2, M2W1, M2W2, M3W1,
M3W2, W1W2}}
|
|
n(P) =
7
|
|
Let Q = Event that the committee should
contain one man and one woman
|
|
Q = {M1W1, M1W2, M2W1, M2W2, M3W1, M3W2
}
|
|
∴ n(Q) = 6
|
|
Let R = Event
that there is not woman in the committee.
|
|
R = {M1M2, M1M3, M2M3}
|
|
∴ n(R) = 3
|