SOLUTION: A student planning her curriculum for the upcoming year must select one of six business courses, one of two mathematics courses, two of seven elective courses, and either one of th
Algebra.Com
Question 1148275: A student planning her curriculum for the upcoming year must select one of six business courses, one of two mathematics courses, two of seven elective courses, and either one of three history courses or one of two social science courses. How many different curricula are available for her consideration?
Found 2 solutions by greenestamps, josmiceli:
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
(1) business: 1 of 6 --> "6 choose 1" = 6C1
(2) mathematics: 1 of 2 --> "2 choose 1" = 2C1
(3) electives: 2 of 7 --> "7 choose 2" = 7C2
(4) other: 1 of 3 OR 1 of 2 --> "3 choose 1 plus 2 choose 1" = 3C1+2C1
Note this is equivalent to "5 choose 1" = 5C1
The total number of sets of courses is the product of all those numbers of choices.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Use combination formula
C( n, r ) = n! / ( ( n-r)! * r! )
C( 6,1 ) = 6
C( 2,1 ) = 2
----------------------------
C( 7,2 ) =
C( 7,2 ) =
C( 7,2 ) = 21
----------------------------
C( 3,1 ) = 3
C( 2,1 ) = 2
---------------------------
There are 1,260 different curricula
-----------------------------------------
Note that the last 2 choices get added because
of the OR.
Get 2nd opinion if needed
RELATED QUESTIONS
A student planning her curriculum for the upcoming year must select one of five business... (answered by solver91311)
A student planning her curriculum for the upcoming year must select one of five business... (answered by edjones)
A student planning her curriculum for the upcoming year must select one of four business... (answered by KMST)
A student planning her curriculum for the upcoming year must select one of seven business (answered by stanbon)
A student planning her curriculum for the upcoming year must select one of three business (answered by stanbon)
A student planning her curriculum for the upcoming year must select one of three business (answered by Theo)
A student planning her curriculum for the upcoming year must select one of four business... (answered by edjones)
A college student is preparing a course schedule for the next semester. The student must... (answered by ikleyn,Solver92311)
How many courses? At a small liberal arts college, students can register for one to six... (answered by math_tutor2020)