Kamil has quarters and nickels in his pocket. He takes one coin out, and then another.

Question

Drag and drop the correct letters to complete the tree diagram showing all the possible sequences of coins Kamil may have selected.

Answer 1

To create a tree diagram showing the possible sequences of coins Kamil may have selected (quarters and nickels), we would start with a single point and then branch out based on the choices he can make.

1. Start with the initial choice where Kamil can select:

   • Q (for Quarter)
   • N (for Nickel)

2. From each of these choices, Kamil can again select a coin:

   • If he first selects a Quarter (Q), he can either select another Quarter (Q) or a Nickel (N).
   • If he first selects a Nickel (N), he can also choose either a Quarter (Q) or a Nickel (N).

So the tree diagram would look like this:

        Start
        /   \
       Q     N
      / \   / \
     Q   N Q   N

The sequences formed would be:

• Q, Q
• Q, N
• N, Q
• N, N

In letter terms, this means the combinations can be listed as:

1. QQ
2. QN
3. NQ
4. NN

If you need help with a specific format or representation, please provide more details!