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IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3 Question 30

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3

Question 30

Let S={1,2,3,…,40}. How many subsets K={a, b, c} of S satisfy a+c=2b?

Original options (preserved):
A. 360
B. 375
C. 380
D. 390
E. 400

Editorial note: Discuss both the three-distinct-elements interpretation and the literal set notation allowing repeated names. Preserve the original options; the rubric is editorial.

Question illustration