Answer:
![{52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4](https://tex.z-dn.net/?f=%7B52%20%5Cchoose%207%7D%7B45%20%5Cchoose%207%7D%7B38%20%5Cchoose%207%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%5E4)
Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in
ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in
ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in
. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in
ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in
. And again, we have to choose which ones are the hidden ones, which can be chosen in
ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in
ways. And choosing which ones are the hidden ones for this player can be done in
ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).
![{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4](https://tex.z-dn.net/?f=%7B52%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B45%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B38%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%3D%7B52%20%5Cchoose%207%7D%7B45%20%5Cchoose%207%7D%7B38%20%5Cchoose%207%7D%7B31%20%5Cchoose%207%7D%7B7%20%5Cchoose%202%7D%5E4)
Answer:
o.45
Step-by-step explanation:
any time you have a precent just put 0. infront of the number.
Answer:
238 cm
Step-by-step explanation:
so we have a scale factor of 17: 1
originally we had the dimensions: 3cm by 4m
now we have 3*17 by 4*17 = 51 cm by 68 cm
Perimeter = 2*51 + 2*68 = 238 cm
Answer:
6 and 8
Step-by-step explanation:
All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.
2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48
4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48
6 and 8 . . . . . have a difference of 2, and 6·8 = 48
24 and 2 . . . . do not have a difference of 2
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700