08 Ways to pick officers

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import itertools
import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats, special

khanacademy

persons = list(range(1, 10, 1))

p = list(itertools.permutations(persons, 3))

p

[(1, 2, 3),
 (1, 2, 4),
 (1, 2, 5),
 (1, 2, 6),
 (1, 2, 7),
 (1, 2, 8),
 (1, 2, 9),
 (1, 3, 2),
 (1, 3, 4),
 (1, 3, 5),
 (1, 3, 6),
 (1, 3, 7),
 (1, 3, 8),
 (1, 3, 9),
 (1, 4, 2),
 (1, 4, 3),
 (1, 4, 5),
 (1, 4, 6),
 (1, 4, 7),
 (1, 4, 8),
 (1, 4, 9),
 (1, 5, 2),
 (1, 5, 3),
 (1, 5, 4),
 (1, 5, 6),
 (1, 5, 7),
 (1, 5, 8),
 (1, 5, 9),
 (1, 6, 2),
 (1, 6, 3),
 (1, 6, 4),
 (1, 6, 5),
 (1, 6, 7),
 (1, 6, 8),
 (1, 6, 9),
 (1, 7, 2),
 (1, 7, 3),
 (1, 7, 4),
 (1, 7, 5),
 (1, 7, 6),
 (1, 7, 8),
 (1, 7, 9),
 (1, 8, 2),
 (1, 8, 3),
 (1, 8, 4),
 (1, 8, 5),
 (1, 8, 6),
 (1, 8, 7),
 (1, 8, 9),
 (1, 9, 2),
 (1, 9, 3),
 (1, 9, 4),
 (1, 9, 5),
 (1, 9, 6),
 (1, 9, 7),
 (1, 9, 8),
 (2, 1, 3),
 (2, 1, 4),
 (2, 1, 5),
 (2, 1, 6),
 (2, 1, 7),
 (2, 1, 8),
 (2, 1, 9),
 (2, 3, 1),
 (2, 3, 4),
 (2, 3, 5),
 (2, 3, 6),
 (2, 3, 7),
 (2, 3, 8),
 (2, 3, 9),
 (2, 4, 1),
 (2, 4, 3),
 (2, 4, 5),
 (2, 4, 6),
 (2, 4, 7),
 (2, 4, 8),
 (2, 4, 9),
 (2, 5, 1),
 (2, 5, 3),
 (2, 5, 4),
 (2, 5, 6),
 (2, 5, 7),
 (2, 5, 8),
 (2, 5, 9),
 (2, 6, 1),
 (2, 6, 3),
 (2, 6, 4),
 (2, 6, 5),
 (2, 6, 7),
 (2, 6, 8),
 (2, 6, 9),
 (2, 7, 1),
 (2, 7, 3),
 (2, 7, 4),
 (2, 7, 5),
 (2, 7, 6),
 (2, 7, 8),
 (2, 7, 9),
 (2, 8, 1),
 (2, 8, 3),
 (2, 8, 4),
 (2, 8, 5),
 (2, 8, 6),
 (2, 8, 7),
 (2, 8, 9),
 (2, 9, 1),
 (2, 9, 3),
 (2, 9, 4),
 (2, 9, 5),
 (2, 9, 6),
 (2, 9, 7),
 (2, 9, 8),
 (3, 1, 2),
 (3, 1, 4),
 (3, 1, 5),
 (3, 1, 6),
 (3, 1, 7),
 (3, 1, 8),
 (3, 1, 9),
 (3, 2, 1),
 (3, 2, 4),
 (3, 2, 5),
 (3, 2, 6),
 (3, 2, 7),
 (3, 2, 8),
 (3, 2, 9),
 (3, 4, 1),
 (3, 4, 2),
 (3, 4, 5),
 (3, 4, 6),
 (3, 4, 7),
 (3, 4, 8),
 (3, 4, 9),
 (3, 5, 1),
 (3, 5, 2),
 (3, 5, 4),
 (3, 5, 6),
 (3, 5, 7),
 (3, 5, 8),
 (3, 5, 9),
 (3, 6, 1),
 (3, 6, 2),
 (3, 6, 4),
 (3, 6, 5),
 (3, 6, 7),
 (3, 6, 8),
 (3, 6, 9),
 (3, 7, 1),
 (3, 7, 2),
 (3, 7, 4),
 (3, 7, 5),
 (3, 7, 6),
 (3, 7, 8),
 (3, 7, 9),
 (3, 8, 1),
 (3, 8, 2),
 (3, 8, 4),
 (3, 8, 5),
 (3, 8, 6),
 (3, 8, 7),
 (3, 8, 9),
 (3, 9, 1),
 (3, 9, 2),
 (3, 9, 4),
 (3, 9, 5),
 (3, 9, 6),
 (3, 9, 7),
 (3, 9, 8),
 (4, 1, 2),
 (4, 1, 3),
 (4, 1, 5),
 (4, 1, 6),
 (4, 1, 7),
 (4, 1, 8),
 (4, 1, 9),
 (4, 2, 1),
 (4, 2, 3),
 (4, 2, 5),
 (4, 2, 6),
 (4, 2, 7),
 (4, 2, 8),
 (4, 2, 9),
 (4, 3, 1),
 (4, 3, 2),
 (4, 3, 5),
 (4, 3, 6),
 (4, 3, 7),
 (4, 3, 8),
 (4, 3, 9),
 (4, 5, 1),
 (4, 5, 2),
 (4, 5, 3),
 (4, 5, 6),
 (4, 5, 7),
 (4, 5, 8),
 (4, 5, 9),
 (4, 6, 1),
 (4, 6, 2),
 (4, 6, 3),
 (4, 6, 5),
 (4, 6, 7),
 (4, 6, 8),
 (4, 6, 9),
 (4, 7, 1),
 (4, 7, 2),
 (4, 7, 3),
 (4, 7, 5),
 (4, 7, 6),
 (4, 7, 8),
 (4, 7, 9),
 (4, 8, 1),
 (4, 8, 2),
 (4, 8, 3),
 (4, 8, 5),
 (4, 8, 6),
 (4, 8, 7),
 (4, 8, 9),
 (4, 9, 1),
 (4, 9, 2),
 (4, 9, 3),
 (4, 9, 5),
 (4, 9, 6),
 (4, 9, 7),
 (4, 9, 8),
 (5, 1, 2),
 (5, 1, 3),
 (5, 1, 4),
 (5, 1, 6),
 (5, 1, 7),
 (5, 1, 8),
 (5, 1, 9),
 (5, 2, 1),
 (5, 2, 3),
 (5, 2, 4),
 (5, 2, 6),
 (5, 2, 7),
 (5, 2, 8),
 (5, 2, 9),
 (5, 3, 1),
 (5, 3, 2),
 (5, 3, 4),
 (5, 3, 6),
 (5, 3, 7),
 (5, 3, 8),
 (5, 3, 9),
 (5, 4, 1),
 (5, 4, 2),
 (5, 4, 3),
 (5, 4, 6),
 (5, 4, 7),
 (5, 4, 8),
 (5, 4, 9),
 (5, 6, 1),
 (5, 6, 2),
 (5, 6, 3),
 (5, 6, 4),
 (5, 6, 7),
 (5, 6, 8),
 (5, 6, 9),
 (5, 7, 1),
 (5, 7, 2),
 (5, 7, 3),
 (5, 7, 4),
 (5, 7, 6),
 (5, 7, 8),
 (5, 7, 9),
 (5, 8, 1),
 (5, 8, 2),
 (5, 8, 3),
 (5, 8, 4),
 (5, 8, 6),
 (5, 8, 7),
 (5, 8, 9),
 (5, 9, 1),
 (5, 9, 2),
 (5, 9, 3),
 (5, 9, 4),
 (5, 9, 6),
 (5, 9, 7),
 (5, 9, 8),
 (6, 1, 2),
 (6, 1, 3),
 (6, 1, 4),
 (6, 1, 5),
 (6, 1, 7),
 (6, 1, 8),
 (6, 1, 9),
 (6, 2, 1),
 (6, 2, 3),
 (6, 2, 4),
 (6, 2, 5),
 (6, 2, 7),
 (6, 2, 8),
 (6, 2, 9),
 (6, 3, 1),
 (6, 3, 2),
 (6, 3, 4),
 (6, 3, 5),
 (6, 3, 7),
 (6, 3, 8),
 (6, 3, 9),
 (6, 4, 1),
 (6, 4, 2),
 (6, 4, 3),
 (6, 4, 5),
 (6, 4, 7),
 (6, 4, 8),
 (6, 4, 9),
 (6, 5, 1),
 (6, 5, 2),
 (6, 5, 3),
 (6, 5, 4),
 (6, 5, 7),
 (6, 5, 8),
 (6, 5, 9),
 (6, 7, 1),
 (6, 7, 2),
 (6, 7, 3),
 (6, 7, 4),
 (6, 7, 5),
 (6, 7, 8),
 (6, 7, 9),
 (6, 8, 1),
 (6, 8, 2),
 (6, 8, 3),
 (6, 8, 4),
 (6, 8, 5),
 (6, 8, 7),
 (6, 8, 9),
 (6, 9, 1),
 (6, 9, 2),
 (6, 9, 3),
 (6, 9, 4),
 (6, 9, 5),
 (6, 9, 7),
 (6, 9, 8),
 (7, 1, 2),
 (7, 1, 3),
 (7, 1, 4),
 (7, 1, 5),
 (7, 1, 6),
 (7, 1, 8),
 (7, 1, 9),
 (7, 2, 1),
 (7, 2, 3),
 (7, 2, 4),
 (7, 2, 5),
 (7, 2, 6),
 (7, 2, 8),
 (7, 2, 9),
 (7, 3, 1),
 (7, 3, 2),
 (7, 3, 4),
 (7, 3, 5),
 (7, 3, 6),
 (7, 3, 8),
 (7, 3, 9),
 (7, 4, 1),
 (7, 4, 2),
 (7, 4, 3),
 (7, 4, 5),
 (7, 4, 6),
 (7, 4, 8),
 (7, 4, 9),
 (7, 5, 1),
 (7, 5, 2),
 (7, 5, 3),
 (7, 5, 4),
 (7, 5, 6),
 (7, 5, 8),
 (7, 5, 9),
 (7, 6, 1),
 (7, 6, 2),
 (7, 6, 3),
 (7, 6, 4),
 (7, 6, 5),
 (7, 6, 8),
 (7, 6, 9),
 (7, 8, 1),
 (7, 8, 2),
 (7, 8, 3),
 (7, 8, 4),
 (7, 8, 5),
 (7, 8, 6),
 (7, 8, 9),
 (7, 9, 1),
 (7, 9, 2),
 (7, 9, 3),
 (7, 9, 4),
 (7, 9, 5),
 (7, 9, 6),
 (7, 9, 8),
 (8, 1, 2),
 (8, 1, 3),
 (8, 1, 4),
 (8, 1, 5),
 (8, 1, 6),
 (8, 1, 7),
 (8, 1, 9),
 (8, 2, 1),
 (8, 2, 3),
 (8, 2, 4),
 (8, 2, 5),
 (8, 2, 6),
 (8, 2, 7),
 (8, 2, 9),
 (8, 3, 1),
 (8, 3, 2),
 (8, 3, 4),
 (8, 3, 5),
 (8, 3, 6),
 (8, 3, 7),
 (8, 3, 9),
 (8, 4, 1),
 (8, 4, 2),
 (8, 4, 3),
 (8, 4, 5),
 (8, 4, 6),
 (8, 4, 7),
 (8, 4, 9),
 (8, 5, 1),
 (8, 5, 2),
 (8, 5, 3),
 (8, 5, 4),
 (8, 5, 6),
 (8, 5, 7),
 (8, 5, 9),
 (8, 6, 1),
 (8, 6, 2),
 (8, 6, 3),
 (8, 6, 4),
 (8, 6, 5),
 (8, 6, 7),
 (8, 6, 9),
 (8, 7, 1),
 (8, 7, 2),
 (8, 7, 3),
 (8, 7, 4),
 (8, 7, 5),
 (8, 7, 6),
 (8, 7, 9),
 (8, 9, 1),
 (8, 9, 2),
 (8, 9, 3),
 (8, 9, 4),
 (8, 9, 5),
 (8, 9, 6),
 (8, 9, 7),
 (9, 1, 2),
 (9, 1, 3),
 (9, 1, 4),
 (9, 1, 5),
 (9, 1, 6),
 (9, 1, 7),
 (9, 1, 8),
 (9, 2, 1),
 (9, 2, 3),
 (9, 2, 4),
 (9, 2, 5),
 (9, 2, 6),
 (9, 2, 7),
 (9, 2, 8),
 (9, 3, 1),
 (9, 3, 2),
 (9, 3, 4),
 (9, 3, 5),
 (9, 3, 6),
 (9, 3, 7),
 (9, 3, 8),
 (9, 4, 1),
 (9, 4, 2),
 (9, 4, 3),
 (9, 4, 5),
 (9, 4, 6),
 (9, 4, 7),
 (9, 4, 8),
 (9, 5, 1),
 (9, 5, 2),
 (9, 5, 3),
 (9, 5, 4),
 (9, 5, 6),
 (9, 5, 7),
 (9, 5, 8),
 (9, 6, 1),
 (9, 6, 2),
 (9, 6, 3),
 (9, 6, 4),
 (9, 6, 5),
 (9, 6, 7),
 (9, 6, 8),
 (9, 7, 1),
 (9, 7, 2),
 (9, 7, 3),
 (9, 7, 4),
 (9, 7, 5),
 (9, 7, 6),
 (9, 7, 8),
 (9, 8, 1),
 (9, 8, 2),
 (9, 8, 3),
 (9, 8, 4),
 (9, 8, 5),
 (9, 8, 6),
 (9, 8, 7)]

len(p)

504

special.perm(len(persons), 3)

504.0