math 12

posted by .

In Lisa's first-year college program she must take nine courses including at least two science courses. If there are five science courses, three mathematics courses, four language courses and five business courses from which to choose, how many different academic programs could she follow?

  • math 12 -

    Without any restrictions she could take
    C(17,9) different combinations or 24310

    At least 2 science courses means we have to excluse
    1. no science course
    2. 1 science course

    1. number of ways to take no science = C(5,0)xC(12,9)
    = 220
    2. number of ways to include 1 science course
    = C(5,1)xC(12,8)
    = 2475

    number of ways with at least 2 science courses
    = 24310 - 220 - 2475
    = 21615

    or

    2 science courses: C(5,2)xC(12,7) = 7920
    3 science courses : C(5,3)xC(12,6) = 9240
    4 science courses : C(5,4)xC(12,5) = 3960
    5 science courses: C(5,5)xC(12,4) = 495
    Total = 21615

  • math 12 -

    Thank you:) I got that answer too:)

  • math 12 -

    There are 20 people in a club. In how many ways can the club elect a president, a secretary and a treasurer, on person can hold more than one office?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A student planning her curriculum for the upcoming year must select one of four business courses, one of four mathematics courses, two of ten elective courses, and either one of four history courses or one of four social science courses. …
  2. math

    A student planning her curriculum for the upcoming year must select one of four business courses, one of four mathematics courses, two of ten elective courses, and either one of four history courses or one of four social science courses. …
  3. math

    A student of MA101 is preparing a course schedule for the next semester. The student may select one of three mathematics courses, one of three science courses, and one of five courses from social sciences. How many schedules are possible?
  4. MATH

    A student of MA101 is preparing a course schedule for the next semester. The student may select one of three mathematics courses, one of three science courses, and one of five courses from social sciences. How many schedules are possible?
  5. statistics

    Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: x 1 2 3 4 5 6 7 p(x) .04 .05 .08 .26 .39 .16 .02 (a) What …
  6. Calculus

    Greetings, This is a question about selecting courses for my semester. I was planning to take Calculus 3 (Mostly 3-Dimensional topics involving calculus) and a C++ programing course. If you have heard of these courses, can you please …
  7. math 121

    1. A college offers three different psycology . courses, four different history courses, and six different business courses. If a student is required to take one course in each of those three subjects, how many different ways are there …
  8. math

    A college offers nine different psychology courses,four different history course,thirteen different math course,and five different business courses. If a student is required to take one course in each of those four subjects,how many …
  9. Math

    A college freshman must take a science course, a humanities course, an elective course, and a mathematics course for the first term of the school year. If he or she may select any of the six science courses, any of the four humanities …
  10. Finite Math

    A student is making out her schedule for next year. Her list consists of 9 required courses and 12 elective courses. She must take at least 4 courses but cannot take more than 6 courses. In how many ways can she select courses such …

More Similar Questions