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? a. 12p1 b. 12c1 c. 12p1 × 51p51 d. 12c1 × 51p51 e. 12c1 × 51c51

the answer would be d

Step-by-step explanation:

 The correct option is (D)

Step-by-step explanation:  Given that there are 12 face cards in a standard deck of 52 cards.

We are to find the number of ways in which we can arrange a standard deck of 52 cards such that the first card is a face card.

Now, since there are 12 face cards, and the first card may be any one of theses 12 cards, so the number of ways in which the first card of 52 cards can be arranged is given by

Also, there are 51 cards left after the first card is arranged.

Now, out of these 51 cards, we need to choose all the 51 cards one by one and this is a situation of permutation.

So, the number of ways in which these 51 cards can be arranged is

Therefore, the total number of ways in which we can arrange a standard deck of 52 cards such that the first card is a face card will be

Thus, (D) is the correct option.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

10 b/c 5*2 =10

step-by-step explanation: