\displaystyle |A_1^C|=\left(\binom{40}{4}\right)\\
|A_2^C|=\left(\binom{30}{4}\right)\\
|A_4^C|=\left(\binom{20}{4}\right)\\
|A_1^C\cap A_2^C|=\left(\binom{20}{4}\right)\\
|A_1^C\cap A_4^C|=\left(\binom{10}{4}\right)\\
|A_2^C\cap A_4^C|=\left(\binom{0}{4}\right)