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Given:
A committee of 6 members is to be chose from the 100 members of the U.S. senate.
To find:
The number of ways to form a committee.
Solution:
We have,
Total number of members = 100
Number of members needs to selected of committee = 6
Number of ways to select r items from total n items is
Number of ways to select 6 members from total 100 members is
Therefore, the total number of ways to form a committee is , i.e., equal to
.