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Which of the following problems CANNOT be solved using the Coin Change II (Count Ways) dynamic programming pattern?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - Coin Change II (Count Ways)
Which of the following problems CANNOT be solved using the Coin Change II (Count Ways) dynamic programming pattern?
ACount permutations of coins to make amount with unlimited coins
BCount the number of ways to make amount with unlimited coins, order does not matter
CCount combinations to make amount with unlimited coins
DCount ways to make amount with unlimited coins, order does not matter
Step-by-Step Solution
Solution:
  1. Step 1: Understand Coin Change II pattern

    This pattern counts combinations where order does not matter and coins are unlimited.
  2. Step 2: Identify anti-pattern

    Counting permutations (order matters) is NOT solved by Coin Change II pattern.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Order matters -> permutations -> different pattern [OK]
Quick Trick: Order matters? Not Coin Change II pattern [OK]
Common Mistakes:
MISTAKES
  • Confusing combinations with permutations
  • Assuming all coin change problems use same DP
Trap Explanation:
PITFALL
  • Many candidates think Coin Change II counts permutations, but it counts combinations only.
Interviewer Note:
CONTEXT
  • Checks if candidate can distinguish between combination and permutation DP patterns.
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