In Module $1,$ Lecture $6$ on Induction, what is wrong with the proof that: "All dogs are shaggy."

Choose the best answer:

a$)$ Nothing is wrong, the proof is correct.

b$)$ We fail to properly establish the base case $P(1)$ which in this case is false.

c$)$ The argument used to show $P(k+1)$ assuming $P(k)$ is flawed.

d$)$ None of the above.