Problem Analysis #22

Motif 3 · Run 1

Correct
5.00s
Tokens not reported

Manual web chat · medium response level. The saved transcript may include the prompt and web interface text.

Problem Statement

This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.

Problem 23 From the four lettersa,b,c, andd, three letters are chosen with repetition allowed and arranged in a row. How many such arrangements are possible? [2 points] ①56 ②60 ③64 ④68 ⑤72

Ground Truth
Recorded model response / solution
Reasoning Process

대화가 없습니다

로그인 회원가입 You are solving a Korean CSAT mathematics problem. Reason carefully, but the final response must contain exactly one final answer inside \boxed{}.

For multiple-choice problems, put only one of ①, ②, ③, ④, ⑤ inside \boxed{}. For short-answer problems, put only the final integer inside \boxed{}. Do not use external tools.

Problem 23 From the four lettersa,b,c, andd, three letters are chosen with repetition allowed and arranged in a row. How many such arrangements are possible? [2 points] ①56 ②60 ③64 ④68 ⑤72 더보기

The number of arrangements of 3 letters chosen from {a, b, c, d} with repetition allowed and arranged in a row is 4 3

64 4 3 =64.

\boxed{③}

Motif 3 중간 AI 답변은 오류가 있을 수 있습니다. 중요한 정보는 반드시 다시 확인해 주세요. 서비스를 이용하면 개인정보처리방침 새 창에서 열기 및 이용약관 새 창에서 열기 이 적용됩니다.

Final Model Output

Comparative Analysis (P22) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Avg Time Taken

Motif 3
5.0
Kimi K3
4.6
Solar Pro 4
4.5
K-EXAONE-2
0.5

Avg Token Usage

Kimi K3
364.0
Solar Pro 4
325.3
K-EXAONE-2
244.3
    CSAT 2026 · Problem 22 · Motif 3 | EntropyMath