Breakfast combinations

gistfile1.txt

import seaborn

from itertools import combinations

def is_multiegg(breakfast):
    if sum([1 in breakfast, 2 in breakfast, 3 in breakfast]) > 1:
        return True
    return False
    
# See Twitter:
# https://twitter.com/piglungs/status/1123228759803482112
# 14 items available for breakfast, and a breakfast has a minimum of three choices
# Three of these options are mutually exclusive (different kinds of egg), so we
# filter combinations on whether they contain *only one* of 1, 2 or 3

breakfasts = [x for sublist in [combinations(range(14), _) 
                                for _ in range(3, 15)]
              for x in sublist if not is_multiegg(x)]

print("Total number of single-egg-type breakfasts:", len(breakfasts))

seaborn.distplot([len(_) for _ in breakfasts], kde=False)