Digital ACT Math Practice Question #2095
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With replacement permitted, each slot has full choices: $10^3 \times 26^2 = 676,000$.
There are 10 possibilities for each of the 3 digits and 26 possibilities for each of the 2 letters. By the fundamental counting principle: $10 \times 10 \times 10 \times 26 \times 26 = 1,000 \times 676 = 676,000$....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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