Hi,

There are _____ways that a student can answer the exam with 7 correct answers and 8 incorrect answers.

15 Questions:  7correct, 8 incorrect

Using Combinations (nCr)  on Calculator:

 Best not to over think it.

Yes, (15C7)= 6435  ways a student can answer the exam with  7 correct answers out of 15 questions. (others could have had no answer)

Wish You the Best in your Studies.

 

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
 .

There are _____ways that a student can answer the exam with 7 correct answers and 8 incorrect answers.

~~~~~~~~~~~~~







It is assumed (although does not formulated explicitly in the problem) that there are 8+7 = 15 questions, in all.



There are    ways to select 7 questions from 15 questions to answer them correctly.


The rest questions will be automatically answered incorrectly.


Your  ANSWER  is   =  =  = 6435 ways.




Solved.







/\/\/\/\/\/\/





Actually, the problem in the post is worded INCORRECTLY.





The correct wording is





    There are  15   questions  at an exam.

    In how many ways the student may answer 7 questions of them correctly ?






I observe it very often at this forum that the "local composers" formulate their problems INCORRECTLY, 



because they do not know the subject professionally.







 

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