4401.sagews

keys=range(10)

keys

[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

import random
random.shuffle(keys)

keys

[4, 9, 7, 0, 2, 6, 1, 8, 5, 3]

def nmatches(list):
    sum=0
    for i in range(len(list)):
        if list[i]==i:
            sum += 1
    return sum

nmatches(range(2012))

2012

nmatches(keys)

1

keys=range(10)
sum = 0
for _ in range(10000):
    random.shuffle(keys)
    sum += nmatches(keys)

sum

10003