In how many ways can five different sweets be split amongst two people if one of the sweets is split into two to be shared, and each person gets two of the remaining sweets?
Can someone please help me solve this and show their step by step thought process? Thank you!
Since you're looking for a step by step process:
Starting with $5$ sweets, pick one to be split. There are $5$ possible cases.
From the other $4$, pick $2$ at random. Note that because order doesn't matter, there are $5*4C2 = 30$ cases.