Please Help. Question attached. (No Links Please!)

It's D, 15!/(15 - 5)! .

15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of

15 * 14 * 13 * … * 2 * 1 = 15!

possible arrangements.

But you're taking 5 objects at a time, so we only have 5 positions to fill:

_ _ _ _ _

and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is

15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

michael scott & dwight schrute

step-by-step explanation:

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