
Hi Anila
the answer should be E i.e, both the statements taken together are also not sufficient.
explanation:
let us try and find out the worst case scenario in each case. if the worst possible probability, P(min) > 1/2 , then we can answer the question...otherwise not.
(1) min no. of women = 6
P(min) = C(6,2)/C(10,2) = 1/3 which is less than 1/2
Hence, we cannot answer the question.
(2) let there be x men. then probability of selecting both men is
C(x,2)/C(10,2) less than 1/10
x <4 />
min no. of women = 7
P(min) = C(7,2)/C(10,2) = 7/15 which is less than 1/2
Hence, we cannot answer
Even on combining both statements, no new information is gathered. min no. of women is still 7. Hence question cannot be answered with both statements. So, the answer is option E.
Cheers
Nikita 