A committee is to consist of two members. If there are five men and six women

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer: The number of different committees can be formed = 55.

Step-by-step explanation:

Given: Number of members in a committee = 2

There are five men and six women available to serve on the committee.

That means, Total persons available to serve on the committee = 5+6=11

Number of combinations of choosing r things from n things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

So, the number of ways to choose 2 members out of 11 = $^{11}C_2=\dfrac{11!}{2!9!}$

$=\dfrac{11\times10}{2}=55$

Hence, the number of different committees can be formed = 55

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Answer:

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Step-by-step explanation:

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Total number of tiles required = 9800/400 = 245

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Which equation can pair with x-y=-2 to create a consistent and dependent system?

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See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

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