5
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Unit test

Question 5 • *CR CCSS Math 2 S2 [M2960OX]

Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?

Answer
A
84
B
504
C
3,024
D
60,480

Explanation

The last digit is fixed as 7, so the first three positions must use three different digits from the other 9 digits. Since order matters, there are 9 choices for the first position, 8 for the second, and 7 for the third: 9 × 8 × 7 = 504. The correct choice is 504.

AI-written and checked against the verified answer.

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