Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
Answer:
$1729
Step-by-step explanation:

So, in order, you have to multiply first. 3x3=9, now you have to do 2+2=4. Since there is a "plus" in between "2+2" and "3x3" you have to add, 9+4=13.
Step-by-step explanation:
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AAS congruence theorem.
We know that <H is congruent to <F and <GJH is congruent to <JGF.
We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.