A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if two of the friends will not attend the party together is `112` b. `140` c. `164` d. none of these

A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together, is

The number of ways in which a mixed double game can be arranged from amongst 5 maried couples if at least one husband and wife play in the same game (A) 200 (B) 140 (C) 60 (D) none of these

Number of ways in which a lawn-tennis mixed double be made from seven married couples if no husband and wife play in the same set is a. 240 b. 420 c. 720 d. none of these

A woman has 11 close friends. Number of ways in which she can invite 5 of them to dinner if two particular friends of them are not on speaking terms and will not attend together is

Number of ways in which 3 tickets can be selected from a set of 500 tickets numbered 1,2,3..., 500 so that the number on them are in arithmetic progression is 500 (b) ^500 C_3 (c) 62250 (d) None of these

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

The number of ways in which we can select four numbers from 1 to 30 so as to exclude every selection of four consecutive numbers is a. 27378 b. 27405 c. 27399 d. none of these

The number of words from the letters of the word BHARAT in which B and H will never come together, is 360 b. 240 c. 120 d. none of these

Among 10 persons, A, B, C are to speak at a function. The number of ways in which it can be done if A wants to speak before B and B wants to speak before C is a. 10 !//24 b. 9!//6 c. 10 !//6 d. none of these

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these