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the number of ways for 3 persons to stay in room number 1,2,3,4,5,6,7,8 such that no two persons stay in consecutive room numbers (no person could stay in same room number) is

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Q. Directions:- Study the following information carefully to answer the question given below.

(i) A guest house has six rooms. A, B, C, D, E and F. Among these A and C can accommodate two persons each, the rest can accommodate only one each.
(ii) Eight guests P, Q, R, S, T, U, W and X are to be kept in these rooms. Q, T and X are females while the others are males. The two sexes cannot be put together in the same room. No man is willing to stay in room C or F.
(iii) P wants to be alone but does not want to stay in room B or D. S needs a partner but is not ready stay with U or W. X does not want to share her room.

'X' will stay in which of the room?

Q. Directions:- Study the following information carefully to answer the question given below.

(i) A guest house has six rooms. A, B, C, D, E and F. Among these A and C can accommodate two persons each, the rest can accommodate only one each.
(ii) Eight guests P, Q, R, S, T, U, W and X are to be kept in these rooms. Q, T and X are females while the others are males. The two sexes cannot be put together in the same room. No man is willing to stay in room C or F.
(iii) P wants to be alone but does not want to stay in room B or D. S needs a partner but is not ready stay with U or W. X does not want to share her room.

Who among the following will stay in room E?

Q. The cost of a room in a hotel is partially fixed and partially varying with reapect to the number of hours. A person staying for 10 hours paid ₹600 and a person staying for 15 hours paid ₹840. Find the fixed cost and the variable cost per hour.

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