Related Questions

The membership of two committees , football committee and cricket committee , must be drawn exclusively form a group of seven people . Farid, Gaffar , Helal , Iftekhar , Jalil , Kalam and Lalit. * Each of the seven people must serve on a committee. * No one can serve on both committees. * Farid cannot be on a committee with Gaffar or with Jalil. * Helal cannot serve on a committee with Iftekhar. If Helal serves on football committee, which of the following must be true?
A Farid serves on football committee
B Gaffar serves on cricket committee
C Iftekhar serves on cricket committee
D Kalam serves on football committee
A club has 8 male and 8 female members, the club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. In how many ways can the committee chosen?
A 112,896
B 3,136
C 720
D 112
Two-thirds of the members of a committee are women, one-fourth of the male members of the committee are married. If there are 9 bachelors in the committee, how many members are there altogether?
A 28
B 32
C 30
D 36
The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m^2. The length of the hall is :
A 15m
B 22.5m
C 25m
D 30m
The length of the rectangular hall is 5 m more than its breadth. The area of the hall is 750 m². The length of the hall is: 
A 15 m
B 22.5 m
C 25 m
D 30 m
A club has 8 male and 8 female members. The club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. How many different committees can be chosen?
A 112896
B 3136
C 720
D 112
From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?
A 91
B 104
C 109
D 98
On a certain French-American committee, 2/3 of the members are men, and 3/8 of the men are Americans, If 3/5 of the committee members are french. What fraction of the members are American Woman?
A 2/5
B 3/4
C 3/20
D 2/15
Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.
A 864
B 863
C 865
D 1728
Committee X has 4 members, committees Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?
A 6
B 9
C 10
D 20

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