One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is

How many ways are there to seat n married couples (ngeq3) around a table such that men and women alternate and each women is not adjacent to her husband.

In how many ways can a party of 4 men and 4 women be seated at a circular table so that no two women are adjacent?

Nine people sit around a round table. The number of ways of selecting four of them such that they are not from adjacent seats, is

If a Grand father along with his two grandsons and four grand daughters are to be seated in a line for a photograph so that he is always in the middle then the probability that his two grandsons are never adjacent to each other is

The probability that a married man watches certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

The probability that a married man watches a certain T.V. show is 0.6 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show given that his wife does watch is 0.8. If the probability that a wife watches the show given that her husband does watch is k, then (1)/(k) is equal to

Six persons A, B, C, D, E, F, are to be seated at a circular table. In how many ways antis be one if A should have either B or C on his right and B must always have either C or D on his right.

Six persons A, B, C, D, E, F, are to be seated at a circular table. In how many ways antis be one if A should have either B or C on his and B must always have either C or D on his right.

In how many different ways a grandfather along with two of his grandsons and four grand daughters can be seated in a line for a photograph so that he is always in the middle and the two grandsons are never adjacent to each other.

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted five seats. For i=1,\ 2,\ 3,\ 4, let T_i denote the event that the students S_i and S_(i+1) do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event T_1nnT_2nnT_3nnT_4 is A. 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5