Which of the following problems CANNOT be solved using the "Count of Subsets With Sum K" backtracking pattern?

easy🔍 Pattern Recognition Q2 of Q15

Subsets & Combinations - Count of Subsets With Sum K

ACount subsets of an array that sum to a target K

BFind the maximum sum subset less than or equal to K

CFind the number of ways to reach a target sum using array elements once

DCount subsets with sum exactly equal to K

Step-by-Step Solution

Solution:

Step 1: Analyze problem types
Counting subsets with sum K is a counting problem, not an optimization problem.
Step 2: Identify pattern mismatch
Finding maximum sum subset ≤ K is an optimization problem (knapsack max sum), not counting subsets.
Final Answer:
Option B → Option B
Quick Check:
Max sum subset ≠ counting subsets → different pattern [OK]

Quick Trick: Counting subsets ≠ finding max sum subset [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates often think all subset sum problems are solved by counting subsets, ignoring optimization variants.

Interviewer Note:

CONTEXT

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