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AMO · 2027 · Grades 2-3 · Self-study SET 25 Question 12

AMO

Question 12

Alice picks two cards from a 52-card deck whose values sum to 15. How many combinations are possible? A = 1, J = 11, Q = 12, K = 13; the remaining ranks have values 2 to 10.

Count unordered pairs of rank values only. Ignore suits and do not count the reversed order again.

Question illustration

Enter one whole number, without units.