Answer:
There are 286 ways to answer 10 questions out of 13 can be answered.
Step-by-step explanation:
Total number of questions in an essay test = 13
Number of questions to answer out of 13 questions = 10
Since order of doing the questions doesn't matter, so total number of ways in which 10 questions can be answered = [tex]^{13}C_{10}[/tex]
= [tex]\frac{13!}{(10!)(13-10)!}[/tex]
= [tex]\frac{13\times 12\times 11\times 10!}{10!\times 3!}[/tex]
= [tex]\frac{1716}{6}[/tex]
= 286 ways
Therefore, there are 286 ways to answer 10 questions out of 13 can be answered.
