Step 1: Analyze the initial configuration of tokens.
The initial image shows 6 tokens arranged in a triangle.
Counting the tokens:
• There are 4 blue tokens (filled circles).
• There are 2 white tokens (empty circles).
Step 2: Determine the effect of turning over all tokens.
The question states that each token has one blue side and one white side. When a token is turned over, its color flips.
• A blue token will become white.
• A white token will become blue.
Step 3: Calculate the final configuration after turning over all tokens.
Applying the color flip to the initial configuration:
• The 4 blue tokens will become 4 white tokens.
• The 2 white tokens will become 2 blue tokens.
So, the final configuration should have 2 blue tokens and 4 white tokens.
Step 4: Determine the final arrangement.
Let's represent the initial arrangement (B for blue, W for white):
B
B W
B B W
After turning over all tokens, each B becomes W, and each W becomes B:
W
W B
W W B
Step 5: Compare the final configuration and arrangement with the given options.
• Option (A) shows 4 blue and 2 white tokens, which is the initial state. Incorrect.
• Option (B) shows 2 blue and 4 white tokens, arranged as:
W
W B
W W B
This matches our calculated final configuration and arrangement. Correct.
• Option (C) shows 3 blue and 3 white tokens. Incorrect.
• Option (D) shows 2 blue and 4 white tokens, arranged as:
W
W B
W W B
This is identical to option (B) and also matches our calculated final configuration and arrangement. Correct.
• Option (E) shows 4 blue and 2 white tokens, which is the initial state. Incorrect.
Since both (B) and (D) are identical and correct, we select one of them.
The final answer is B.
That's 2 down. 3 left today — send the next one.