20 Goats

Question

Is that Possible.?
There are 20 goats and we have to cut them in 5 days . We can't cut them in even way we have to cut them in odd
numbers only, we have to cut them each day (5 days)

Answer 1

You are right, the sum of 5 odd numbers is always odd, cannot be 20.

Answer 2

I guess sum of odd number, odd time gives odd number only.

Answer 3

#or you can verify it very naively by brute force computation.😁

from itertools import combinations_with_replacement

#generate odd number list
oddnums = []
for i in range(1,29):
if i%2!=0:
oddnums.append(i)

#collect all possible sums of 5 odd numbers from the list, repetitions included.
sums =[]
for n in combinations_with_replacement(oddnums,5):
sums.append((sum(n)))
print(f'{len(sums) = }')
print(f'{min(sums) = }')
print(f'{max(sums) = }')

#check if there is a 20 in there.
print(f'{set(sums) = }')
print(f'{20 in sums = }')