#!/usr/bin/env python3

# Enumerate all possible combinations of faces and check if valid

from itertools import combinations

combs = [(0, 1), (0, 4), (0, 6), (1, 6), (1, 8), (2, 5), (3, 6), (4, 6)]

def main():
    c = 0
    cubes = list(combinations(list(range(7))+list(range(6,9)), 6))
    for i,a in enumerate(cubes):
        for b in cubes[i+1:]:
            c += conds(a, b)
    return c

def conds(a, b):
    def sym(x, y):
        return (x in a and y in b) or (x in b and y in a)
    return all(sym(x, y) for x,y in combs)

print(main())