Question

A plate of cakes holds 12 different cakes. Find the number of ways these cakes can be shared between alex and james if each receives an odd number of cakes

Answer 1

Answer:

The total possibilities are " 6 ".  

Step-by-step explanation:

The total number of cakes = 12

we know that

12 = 1 + 11 = 11 + 1

12 = 3 + 9 = 9 + 3

12 = 5 + 7 = 7 +5

So

In the first case it is possible that

Alex get 1 and James get 11 and vice versa.

Similarly

In the second case it is possible that

Alex get 1 and James get 9 and vice versa.

In the third case it is possible that

Alex get 5 and James get 7 and vice versa.

There are no other possibilities left because there are no other odd number exist in first 12 numbers.

SO

The total possibilities are " 6 ".