https://www.nicovideo.jp/watch/sm33827286 https://www.youtube.com/watch?v=YBdPpIW5_oE

2. “Fear is the path to the dark side.
Fear leads to anger. Anger leads to hate. Hate leads to suffering.”
— Yoda—

5. v({1}) = − 900 v({2}) = − 2500 v({3}) = − 3000
v({1,2}) = − 2500 v({2,3}) = − 3000 v({1,3}) = − 3000
v({1,2,3}) = − 3000

6. v({1}) = − 900 − (−900) = 0 v({2}) = 0 v({3}) = 0
v({1,2}) = − 2500 − {(−2500) + (−900)} = 900 v({2,3}) = 2500 v({1,3}) = 900
v({1,2,3}) = − 3000 − {(−900) + (−2500) + (−3000)} = 3400

12.
v(N) = 1
S ⊆ T v(S) ≤ v(T)
v(S) = 1 v(N − S) = 0
v(S) = 1
𝒲
ϕi(v) =
∑
S:i∈S⊂N
(s − 1)!(n − s)!
n!
{v(S) − v(S − {i})} =
∑
S:i∈S∈𝒲,S−{i}∉𝒲
(s − 1)!(n − s)!
n!

14. 5C2 × 3! × 3! = 360
5C3 × 4! × 2! = 480
5C4 × 5! = 600
6! × 5C5 = 6! = 720

15. 4C1 × 3! × 3! = 144

19. See you next time