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 :-
![^nP_m=\dfrac{n!}{(n-m)!}](https://tex.z-dn.net/?f=%5EnP_m%3D%5Cdfrac%7Bn%21%7D%7B%28n-m%29%21%7D)
Then, the number of permutation of 29 employees taking 6 at a time will be :-
![^{29}P_6=\dfrac{29!}{(29-6)!}\\\\=\dfrac{29\times28\times27\times26\times25\times24\times23!}{23!}\\\\=342014400](https://tex.z-dn.net/?f=%5E%7B29%7DP_6%3D%5Cdfrac%7B29%21%7D%7B%2829-6%29%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B29%5Ctimes28%5Ctimes27%5Ctimes26%5Ctimes25%5Ctimes24%5Ctimes23%21%7D%7B23%21%7D%5C%5C%5C%5C%3D342014400)
Hence, the total number of ways the committee may be formed = 342014400
The statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
<h3>Triangle Sides and angles Relationship</h3>
- The length of the three sides of a triangle is relative to the measure of the size of the angle opposite to each of he sides.
- That is, the longest side will be directly opposite the largest angle and vice versa.
Thus, the statements about the sides of ΔDEF are missing, however, we can make the following deductions:
- m∠D = 103° is opposite to the longest side EF.
- m∠F = 63° (180 - 103 - 14) is opposite to the medium side DE
- m∠E = 14° is opposite to the shortest side DF.
Therefore, the statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
Learn more about the relationship between sides and angles of a triangle on:
brainly.com/question/10695554
Answer:
B
Step-by-step explanation:
Make a commone demonatore my multiplying.
Answer:
x = 0.25 or 1/4
Step-by-step explanation:
Answer:
arcade, pizza, chocalte cake
Step-by-step explanation: