Craig is arranging plates for a party.

He has 3 types of sandwich, 2 types of cake and 4 types of biscuit.
Which shows the number of possible combinations of sandwich, cake and biscuit on a plate?

A) (3*2) + (3*4) How do i work this out?
B) 3*2*4
C) (3*4) + (2*4)
D) 3+2+4
E) (2*3) + (2*4)

I’m so sorry but it’s gibberish to me... 😅😭😖 I’m usually not this dim but I just don’t get these...

You can think of it as sandwich, then cake then biscuit... that is ____, ____, _____ and you choose a sandwich THEN cake THEN biscuit so... ___ x___ x____ and we have 3 sanwiches, then 2 cakes then 4 biscuits...

3x4x2

To find the number of possible combinations of sandwich, cake, and biscuit on a plate, you need to multiply the number of options for each type of food together.

In this case, you have 3 types of sandwich, 2 types of cake, and 4 types of biscuit. The options for each type of food are independent of each other.

So, you can use the multiplication principle to find the total number of combinations:

Total Number of Combinations = Number of Sandwich Options * Number of Cake Options * Number of Biscuit Options

Now let's go through the answer choices to determine which one is correct:

A) (3*2) + (3*4):
This expression calculates the total number of options for sandwich and cake (3*2) and the total number of options for sandwich and biscuit (3*4), and then adds them together. This is not correct because it doesn't account for the number of options for cake and biscuit.

B) 3*2*4:
This expression correctly multiplies the number of options for each type of food together. So, this is a valid way to calculate the total number of combinations.

C) (3*4) + (2*4):
This expression calculates the total number of options for sandwich and biscuit (3*4) and the total number of options for cake and biscuit (2*4), and then adds them together. This is not correct because it doesn't account for the number of options for sandwich.

D) 3+2+4:
This expression simply adds the number of options for each type of food together. This is not correct because it assumes that each type of food can be selected independently without considering other options.

E) (2*3) + (2*4):
This expression calculates the total number of options for cake and sandwich (2*3) and the total number of options for cake and biscuit (2*4), and then adds them together. This is not correct because it doesn't account for the number of options for biscuit.

So, the correct answer is B) 3*2*4, as it multiplies the number of options for each type of food together to find the total number of possible combinations of sandwich, cake, and biscuit on a plate.