Answer: 1/8 pack
Step-by-step explanation:
Pack of bottles = 24 bottles
Bought = 3 bottles
24 bottles ___ 1 pack
3 bottles ___ x= 3/24 pack
(3 bottles * 1 pack) / ( 24 bottles) = 3/24 packs = 1/8 pack
 
        
             
        
        
        
The answer is option 2: 4b = 7. The other options all equal 4.
        
             
        
        
        
Firstly, we'll fix the postions where the  women will be. We have
 women will be. We have  forms to do that. So, we'll obtain a row like:
 forms to do that. So, we'll obtain a row like:

The n+1 spaces represented by the underline positions will receive the men of the row. Then,

Since there is no women sitting together, we must write that  . It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:
. It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:

The equation (i) can be rewritten as:

We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known: ![\dfrac{[(n)+(m-n+1)]!}{(n)!(m-n+1)!}=\dfrac{(m+1)!}{n!(m-n+1)!}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5B%28n%29%2B%28m-n%2B1%29%5D%21%7D%7B%28n%29%21%28m-n%2B1%29%21%7D%3D%5Cdfrac%7B%28m%2B1%29%21%7D%7Bn%21%28m-n%2B1%29%21%7D)
[I can write the proof if you want]
Now, we just have to calculate the number of forms to permute the men that are dispposed in the row: 
Multiplying all results:

 
        
             
        
        
        
Answer:
34
Step-by-step explanation: