Answer:
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
a. How many ways are there to receive 5 cards from a deck of 52?
![C_{52,5} = \frac{52!}{5!(47)!} = 2598960](https://tex.z-dn.net/?f=C_%7B52%2C5%7D%20%3D%20%5Cfrac%7B52%21%7D%7B5%21%2847%29%21%7D%20%3D%202598960)
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Answer:
![{2}^{6} \times 4 = {2}^{6} \times {2}^{2}](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B6%7D%20%5Ctimes%204%20%20%3D%20%20%7B2%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20)
According to the laws of indices, when multiplying numbers with exponents and the bases are the same add the powers
![= {2}^{6 + 2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B2%7D%5E%7B6%20%2B%202%7D%20)
![= {2}^{8}](https://tex.z-dn.net/?f=%20%20%3D%20%7B2%7D%5E%7B8%7D%20)
![= 256](https://tex.z-dn.net/?f=%20%3D%20256)
The answer is the first one I don't know if I am correct through hope that I can help
Answer:
1/3
Step-by-step explanation:
First I covert them into decimals. 1/2= 0.5 and 2/3=0.66667 then I just multiplied those together and that was 0.33333 then I made it into a fraction.
Hope this helps
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