Question

10 members of a club from 4 committees of 3,3,2,2 members , so that no member is a member of more than one committee , then the the number of committee ???
a) 25200
b) 2520
c)2025
d) none

Answer 1

@ikram002p
@ganeshie8

Answer 2

@inkyvoyd @ash2326

Answer 3

@ajprincess

Answer 4

For first committee :
you may choose \(3\) members from the available \(10\) members in \(\large 10C3\) ways.

after that, For second committee :
you may choose \(3\) members from the remaining\(7\) members in \(\large 7C3\) ways.

after that, For third committee :
you may choose \(2\) members from the remaining\(4\) members in \(\large 4C2\) ways.

after that, For fourth committee :
you may choose \(2\) members from the remaining\(2\) members in \(\large 2C2\) ways.

Answer 5

oh thanks a lot

Answer 6

multiply them all to get the total number of ways in which you can form committees :

\[\large 10C3*7C3*4C2*2C2\]

Answer 7

http://www.wolframalpha.com/input/?i=%2810+choose+3%29*%287+choose+3%29*%284+choose+2%29*%282+choose+2%29