Question

There are 9 possible toppings for a sandwich, but you only want 4 toppings, one of which must be pickles, How many different sandwiches can be made? Will mark brainliest !! ( ASAP needed)

Answer 1

Answer:

Say you have 2 toppings: cheese and lettuce. You can either have just cheese, just lettuce, both, or neither. That's 4 combinations. If you add a third topping, say alfalfa sprouts, you can choose to have alfalfa sprouts on the sandwich or not which is two possible choices, and for each of those two choices you still have the 4 other combinations, so you get 2 × 4 = 8 combinations with three toppings. If you keep going like this, you notice that each time you add a topping you multiply the number of combinations by 2. So, with N different toppings you have 2 × 2 × ... × 2 (i.e. 2 multiplied by itself N times) combinations. This is 2N. When N = 8, you get 28, which is indeed 256.

Step-by-step explanation: