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Using the digit cards in the figure without repetition, how many 4-digit numbers can be formed?

Competition practicePermutations & Combinations

A120
B125
C72
D96

Step-by-Step Solution

The first digit cannot be 0: 4 choices. Then

4 \times 3 \times 2

for the rest. Total

4 \times 4 \times 3 \times 2 = 96. (120 =^{5} P_{4}

forgets the zero rule.)

Answer: D) 96

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