Question

there are 10 members on a board of directors. they must form a cubcommittee of 2 members, how many different subcommittees are possible?

Answer 1

# Q ) there are 10 members on a board of directors. they must form a subcommittee of 2 members, how many different subcommittees are possible?

Answer :

Number of members on the board of directors = n = 10

They have to form an subcommittee of 2 member ie r = 2

Number of different subcommittee possible = ⁿ C _r

we can write this as

= n ! / ( n- 2 ) ! * 2 !

= 10 ! / ( 10 -2 ) ! * 2 !

= 3628800 / ( 40320 * 2 )

= 3628800 / 80640

= 45

( There are 45 different subcommittees are possible )

it is combination problem : arrangement of the objects , it does not require order .