Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
If we flip 3 coins, the 8 possible outcomes are:
{HHH},
{HHT};
{HTH};
{HTT};
{THH};
{THT};
{TTH};
{TTT};
Which of the 8 outcomes have more heads than tails?
The question is an example of a ratio problem. This implies that
![\begin{gathered} \text{Domestic vehicles ratio=6} \\ \text{Foreign vehicles ratio=5} \\ Sum\text{ of vehicles ratio =5+6=11} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BDomestic%20vehicles%20ratio%3D6%7D%20%5C%5C%20%5Ctext%7BForeign%20vehicles%20ratio%3D5%7D%20%5C%5C%20Sum%5Ctext%7B%20of%20vehicles%20ratio%20%3D5%2B6%3D11%7D%20%5Cend%7Bgathered%7D)
Therefore, le the number of domestic vehicles be x. We can say that;
![\begin{gathered} \frac{6}{11}=\frac{x}{2673} \\ 11x=16038 \\ x=\frac{16038}{11} \\ x=1458 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B6%7D%7B11%7D%3D%5Cfrac%7Bx%7D%7B2673%7D%20%5C%5C%2011x%3D16038%20%5C%5C%20x%3D%5Cfrac%7B16038%7D%7B11%7D%20%5C%5C%20x%3D1458%20%5Cend%7Bgathered%7D)
Answer: 1458
Total of 7 packs. 12 pencils in a pack. 7x12 = 84