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hjlf
2 years ago
5

We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed

Mathematics
1 answer:
eimsori [14]2 years ago
3 0

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

C_{27,8} = \frac{27!}{8!19!} = 2220075

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

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4NO+6H_{2} O\Leftrightarrow4 NH _{3}+5O_{2}

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Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

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<h3>What is the polynomial function about?</h3>

Polynomial functions are known to be a kind of an expressions that is made up of a set of variables of different extent or degrees, non-zero coefficients, positive exponents (of variables), and also it is made up of constants.

Note that the equation of the functions are stated as:

f(x) = 2x² + 7x + 6

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The right and next thing to do is to plot a graph of both functions (see image attached)

From the graph, we have the fact that Both f(x) and g(x) have the same y-intercept of (0,6)

Therefore, Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

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