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How many 5-digit positive integers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit can occur more than once?

A$1680$
B$5040$
C$720$
D$2520$
Answer & Solution
Correct answer: D. $2520$
$7 \times 6 \times 5 \times 4 \times 3 = 2520 = {}^{7}P_{5}$.
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