6 A Social Club has 15 members, of whom 8 are men and 7 are women. The committee of the club consists of 5 of its members.
- Find the number of different ways in which the committee can be formed from the 15 members if it must include more men than women.
The 15 members are having their photograph taken. They stand in three rows, with 3 people in the front row, 5 people in the middle row and 7 people in the back row. - In how many different ways can the 15 members of the club be divided into a group of 3, a group of 5 and a group of 7 ?
In one photograph Abel, Betty, Cally, Doug, Eve, Freya and Gino are the 7 members in the back row. - In how many different ways can these 7 members be arranged so that Abel and Betty are next to each other and Freya and Gino are not next to each other?
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