For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.

So we have 10C1 ways to select one admiral since we want just one

Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first

Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.

The term nCx (combinatory) is defined as:

$nCx = \frac{n!}{x! (n-x)!}$

And by properties $nC1= n$

So then the number of possible way are:

$10C1 *9C1*8C1 = 10*9*8=720$

If we select first the captain then the commander and finally the admiral we have tha same way of select $10*9*8=720$

For all the possible selection orders always we will see that we have 720 to select.

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2 years ago

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3. PLZZZZ HELP MEEE!.!.!

andre [41]

Answer:

60in²

Step-by-step explanation:

Since lateral surface area means all the shapes except the base, we will ignore the square in the middle.

A=1/2(b*h)

A=1/2(10*3)

A=15in²

Now we will multiply the area by 4 or the number of other shapes besides the base.

60in²

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2 years ago