In the first semester of B.Tech, a student is expected to take 6 subjects. The grades for each subject can be S (10 points), A ( 9 points), B (8 points), C (7 points), D (6points), E (5 points), F (Fail). As per the rules, an enrolled student should obtain a minimum grade E in each subject to get promoted to the next semester. What is the total number of possible ways in which a student can get promoted?
Answers
Given : A student is expected to take 6 subjects.
The grades for each subject can be S (10 points), A (9 points), B (8 points), C (7 points), D (6 points), E (5 points), F (Fail).
An enrolled student should obtain a minimum grade E in each subject to
get promoted to the next semester.
To Find : total number of possible ways in which a student can get promoted
Solution:
Total Subjects = 6
Total possible Grades = 7 ( S , A , B , C , D , E , F )
Possible Grades which are required to promote = 6 ( S , A , B , C , D , E )
In Each subject students can get one of the 6 possible grades to promote
Hence total possible ways
= 6 x 6 x6 x 6 x 6 x6
= 6⁶
= 46,656
46,656 total number of possible ways in which a student can get promoted
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