AMC 8 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 19 Medium

A school offers 3 labor-technology courses and 4 art courses. A student selects 3 courses from them. The probability that the student selects at least one course from each category is            .

  • A.

    \frac{6}{7}

  • B.

    \frac{5}{7}

  • C.

    \frac{4}{7}

  • D.

    \frac{3}{7}

  • E.

    \frac{1}{7}

Answer:A

\frac{_{7}C_{3}-_{3}C_{3}-_{4}C_{3}}{_{7}C_{3}}=\frac{6}{7}．

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