There are 12 face cards in a standard deck of 52 cards. how many ways can you arrange a standard deck of 52 cards such that the first card is a face card?
select one of the options below as your
a. 12p1
b. 12c1
c. 12p1 × 51p51
d. 12c1 × 51p51
e. 12c1 × 51c51

Option C is correct  that is 12P1 × 51P51

Step-by-step explanation:

We have been given 52 cards and 12 face cards

Since, we have to arrange  face cards so that the first card is a face card being arrangement we will use permutation which is 12P1

And now we have to arrange 52 cards according to this information we will use permutation  51P51

Hence, option C is correct  that is 12P1 × 51P51

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.