Binomialkoeffizenten_sum
Author: R. Ordowski

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Anzahl der Pfade:

Trefferzahl  k = 2

Bernoullikette der Länge  n = 4

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Ord 2009

A = (5.2361590514081815, 6.183533854422773)
n = 4 (slider from 3 to 4, step 1)
B: (x(A) + n + 1.0, 3.0)
C: (x(A) - n - 1.0, 3.0)
D: (x(C) - n, 0.0)
E: (x(C) + n / 2.0, 0.0)
F: (x(B) + n, 0.0)
G: (x(B) - n / 2.0, 0.0)
H: (x(D) - n / 3.0, -1.0 * 3.0)
I: (x(D) + n / 3.0, -1.0 * 3.0)
J: (x(E) - n / 3.0, -1.0 * 3.0)
K: (x(E) + n / 3.0, -1.0 * 3.0)
L: (x(G) - n / 3.0, -1.0 * 3.0)
M: (x(G) + n / 3.0, -1.0 * 3.0)
N: (x(F) - n / 3.0, -1.0 * 3.0)
O: (x(F) + n / 3.0, -1.0 * 3.0)
P: (x(H) - n / 6.0, -1.0 * 6.0)
Q: (x(H) + n / 6.0, -1.0 * 6.0)
R: (x(I) - n / 6.0, -1.0 * 6.0)
S: (x(I) + n / 6.0, -1.0 * 6.0)
T: (x(J) - n / 6.0, -1.0 * 6.0)
U: (x(J) + n / 6.0, -1.0 * 6.0)
V: (x(K) - n / 6.0, -1.0 * 6.0)
W: (x(K) + n / 6.0, -1.0 * 6.0)
Z: (x(L) - n / 6.0, -1.0 * 6.0)
A_1: (x(L) + n / 6.0, -1.0 * 6.0)
B_1: (x(M) - n / 6.0, -1.0 * 6.0)
C_1: (x(M) + n / 6.0, -1.0 * 6.0)
D_1: (x(N) - n / 6.0, -1.0 * 6.0)
E_1: (x(N) + n / 6.0, -1.0 * 6.0)
F_1: (x(O) - n / 6.0, -1.0 * 6.0)
G_1: (x(O) + n / 6.0, -1.0 * 6.0)
a = Segment(A, C)
b = Segment(A, B)
c = Segment(C, D)
d = Segment(C, E)
e = Segment(B, G)
f = Segment(B, F)
k = 2 (slider from 1 to 2, step 1)
g = Segment(A, C)
h = Segment(C, D)
i = Segment(A, B)
j = Segment(B, F)
l = Segment(C, E)
m = Segment(B, G)
p = Segment(D, H)
q = Segment(D, I)
r = Segment(E, J)
s = Segment(E, K)
t = Segment(G, L)
a_1 = Segment(G, M)
b_1 = Segment(F, N)
c_1 = Segment(F, O)
d_1 = Segment(A, B)
e_1 = Segment(B, F)
f_1 = Segment(F, O)
g_1 = Segment(A, C)
h_1 = Segment(C, D)
i_1 = Segment(D, H)
j_1 = Segment(D, I)
k_1 = Segment(C, E)
l_1 = Segment(B, G)
m_1 = Segment(E, J)
n_1 = Segment(E, K)
p_1 = Segment(G, L)
q_1 = Segment(G, M)
r_1 = Segment(F, N)
s_1 = Segment(F, O)
o = Binomial(n, k)
u = Binomial(n, k)
t_1 = Segment(H, P)
a_2 = Segment(H, Q)
b_2 = Segment(I, R)
c_2 = Segment(I, S)
d_2 = Segment(J, T)
e_2 = Segment(J, U)
f_2 = Segment(K, V)
g_2 = Segment(K, W)
h_2 = Segment(L, Z)
i_2 = Segment(L, A_1)
j_2 = Segment(M, B_1)
k_2 = Segment(M, C_1)
l_2 = Segment(N, D_1)
m_2 = Segment(N, E_1)
n_2 = Segment(O, F_1)
p_2 = Segment(O, G_1)
q_2 = Segment(A, C)
r_2 = Segment(A, B)
s_2 = Segment(C, D)
t_2 = Segment(C, E)
a_3 = Segment(B, G)
b_3 = Segment(B, F)
c_3 = Segment(D, H)
d_3 = Segment(D, I)
e_3 = Segment(E, J)
f_3 = Segment(E, K)
g_3 = Segment(G, L)
h_3 = Segment(G, M)
i_3 = Segment(F, N)
j_3 = Segment(F, O)
k_3 = Segment(H, P)
l_3 = Segment(H, Q)
m_3 = Segment(I, R)
n_3 = Segment(I, S)
p_3 = Segment(J, T)
q_3 = Segment(J, U)
r_3 = Segment(K, V)
s_3 = Segment(K, W)
t_3 = Segment(L, Z)
a_4 = Segment(L, A_1)
b_4 = Segment(M, B_1)
c_4 = Segment(N, D_1)
d_4 = Segment(N, E_1)
e_4 = Segment(O, F_1)
f_4 = Segment(O, G_1)
g_4 = Segment(M, C_1)
su = 0 (slider from 0 to 3, step 1)
h_4 = Segment(A, C)
i_4 = Segment(C, E)
j_4 = Segment(E, K)
k_4 = Segment(A, B)
l_4 = Segment(B, G)
m_4 = Segment(G, M)
n_4 = Segment(B, F)
p_4 = Segment(F, N)
q_4 = Segment(A, C)
r_4 = Segment(C, D)
s_4 = Segment(D, I)
t_4 = Segment(E, J)
a_5 = Segment(C, E)
b_5 = Segment(B, G)
c_5 = Segment(G, L)
d_5 = Segment(B, F)
e_5 = Segment(F, N)
Text14: "\left(\begin{array}" + n + " \\" + k + " \\ \end{array}\right) ="
Text19: "  \left(\begin{array}" + (n - 1.0) + " \\" + k + " \\ \end{array}\right)"
Text18: "\left(\begin{array}" + (n - 1.0) + " \\" + (k - 1.0) + " \\ \end{array}\right)+"