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<h2>There are a total 65,780 ways in which the committee can be made of 5 members.</h2>
Step-by-step explanation:
Here, the total number of technicians in the lab = 15
The total number of chemists in the lab = 11
So, the total members in the lab = 15 + 11 = 26
So, there are total 26 eligible candidates in the lab from which committee of 5 people has to be made.
Now, since there is <u>no restrictions</u> on the choice, so the committee can be formed in nay way, such that:
It may or may not have any technician.
It may or may not have may chemists.
So, the number of ways 5 member can randomly be chosen from a committee of 26 people =
=
Hence, there are a total 65,780 ways in which the committee can be made of 5 members.