Given the following sets consisting of elements from the $$digit$$ universe : U $=\{0,1,2,3,4,5,6,7,8,9\}$

P$=\{$primes$\},$ T$=\{$powers of $2\},$ M $=\{$Multiples of $2\}$

$($a$)$ Write each set by explicitly showing its members :

$$P$=$

$$T$=$

$$M$=$

$($b$)$ Use your answer in $($a$)$ to perform each set operation :

$$P$\backslash$cap T$=$P$\backslash$cap M$=$

$$ P$\backslash$cap $($T$\backslash$cup M$)=$ T$^$C$=$M$\backslash$times M$=$

$($c$)$ What is the cardinality of M$\backslash$times M $?$ Explain.