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3 years ago

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Thirty-five students belong to the science club. This 1/4 the number in the 5 sections of the eighth grade. How many students ar

e in the eight grade? How many in each section if each section has the same number of students?

1 answer:

Sladkaya [172]3 years ago

3 0

35 x 4 = 140 total
140÷5=28

There's 28 students in the sections

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<u>Answer: </u>

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<u>Solution: </u>

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A committee consisting of 4 faculty members and 5 students is to be formed. There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

$\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}$

Hence, the number of ways to form the committee is formed = 637065

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Step-by-step explanation:

if you search up the definition of coefficient this is what you get:

co·ef·fi·cient

/ˌkōəˈfiSHənt/Submit

noun

plural noun: coefficients

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MATHEMATICS

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