Weekend Omelettes at Bernie's

For every topic their are 3 choices. 1) dont take 2) 1 helping 3) 2 helping. So the no. of choices will be 3^n here there are 6 toppings....n=6. Choices=3^6=729.

We have 3 different options for each topping: none, one or two. And with 6 toppings we just do $3^{6} = 729$

There are 3 choices for each topping. There are 6 toppings. Thus 3^6 = 729 is your answer.

For our omelettes there are 6 different toppings; for each of these toppings, there are 3 serving options : not having the topping, having a single serving, or having a double serving. Since we can have multiple toppings on our omelette we must account the number of toppings and topping choices.

Since for each of the 6 toppings there are 3 options, this means that there are 3 x 3 x 3 x 3 x 3 x 3 = 729 possible omelette choices.

Now I want an omelette at 1 in the morning...

For each of the $6$ toppings, there are $3$ choices: 0, 1, or 2. Now, the answer is $3^6 = \boxed {729}$ .

Here , we have 6 different kind of toppings and for each topping , you have 3 choices. You can either not have that topping, or take that once or even twice . So , through these 6 toppings you can have $3^{6}$ = 729 choices of omelettes .