Answer: 342014400
Step-by-step explanation:
Given : A company is selecting 6 people to be on a committee.
Total employees eligible to be on the committee=29
Since each employee will have a different position on the committee, thus order matters here , so we use Permutations.
Number of permutation of n thing taking m things at a time is given by :-
[tex]^nP_m=\dfrac{n!}{(n-m)!}[/tex]
Then, the number of permutation of 29 employees taking 6 at a time will be :-
[tex]^{29}P_6=\dfrac{29!}{(29-6)!}\\\\=\dfrac{29\times28\times27\times26\times25\times24\times23!}{23!}\\\\=342014400[/tex]
Hence, the total number of ways the committee may be formed = 342014400
