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emmainna [20.7K]
1 year ago
11

There are 8 members on the student council. A committee consisting of 2 members is to be made. How many different committees are

possible.

Mathematics
1 answer:
wlad13 [49]1 year ago
8 0

Answer

28 committees

Explanation:

The total number of members = 8

We want to make a committee of 2 members

We will be applying the combination concept

\begin{gathered} \text{let n = 8 and r = 2} \\ ^nC_r\text{ = }\frac{n!}{(n\text{ - r)!r!}} \\ ^8C_2\text{ = }\frac{8!}{(8\text{ - 2)!2!}} \\ ^8C_2\text{ = }\frac{8!}{6!2!} \\ ^{8_2}C\text{ = }\frac{8\text{ x 7 x 6 x 5 x 4 x 3 x 2 x 1}}{6\text{ x 5 x 4 x 3 x 2 x 1! 2 x 1}} \\ ^{8_{}}C_2\text{ = }\frac{8\cdot\text{ 7}}{2} \\ ^{8_{}}C_2\text{ = 28 committees} \end{gathered}

Therefore, 28 committees can be formed

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Step-by-step explanation:

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Arte-miy333 [17]
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Quick I need to finish this and I still have more questions after
OLEGan [10]

Answer:

1\frac{1}{2} or 1.5

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So how we get from 6 to 4?

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3 0
2 years ago
9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

8 0
3 years ago
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