There are total 5005 number of ways or combinations to choose six member for a committee.
According to the given question.
Total number of memebers in a club, n = 15
Total number of members to be selected to form a committee, r = 6
As we know that the total number of ways or combination of selecting
'r ' objects at a time from 'n' number of objects is given by
C(n, r) = n!/(n-r)!r!
Therefore,
The total number of ways to form a committee of 6 members from 15 is given by
C(15, 6)
= 15!/6!(15 - 6)!
= 15!/6!9!
= 5005
Hence, there are total 5005 number of ways or combinations to choose six member for a committee.
Find out more information about number of ways or combination here:
https://brainly.com/question/13003667
#SPJ4
