Permutations And Combinations Question 378
Question: The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is:
Options:
A) $ ^{30}C_7 $
B) $ ^{21}C_8 $
C) $ ^{21}C_7 $
D)  $ ^{30}C_8 $
 Correct Answer: C $ \Rightarrow a_1+a_2+…+a_8=30-16=14 $  So, this is a problem of distributing 14 articles in 8 groups. Number of ways  $ {{=}^{14+8-1}}{C _{8-1}}{{=}^{21}}C_7 $Show Answer
  Answer:
Solution:
 BETA
  BETA 
             
             
           
           
           
          