Suppose you are designing a Cal logo$.$ You have a choice of $4$ shapes $($circle$,$ square,

triangle, and star$),5$ colors $($red$,$ blue, green, yellow, and purple$),$ and $3$ patterns

$($solid$,$ striped, and spotted$).$ If each logo must consist of one shape, one color, and

one pattern:

If you want to choose two different logos without any repeat elements $($i$.$e$.,$ the

two logos cannot share the same shape, color, or pattern$),$ how many ways can

you choose the two logos$?$