(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?

1584

Step-by-step explanation:

Distribution of cards in a deck:

Total number of cards = 52

Total number of cards drawn = 5

Sampling without replacement :

Number of Aces = 4

Number of kings = 4

Card different from Aces and kings = total cards - (4 + 4) ;

52 - 8 = 44 cards

(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)

Using combination :

4C2 * 4C2 * 44C1

Using calculator :

6 * 6 * 44

= 1584

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have