At a certain examination there are 6 question papers on six subjects . In order to pass the examination , a candidate has to secure a minimum of marks in each of the 6 papers . In how many different ways may a candidate fail ?

At a certain examination , there are 8 papers . In order to pass the examination a candidate has to secure a minimumof marks in each of the 8 papers . In how many ways can a candidate fail in the examination ?

A question paper contains , which are divided into two groups each containing 5 questions . A candidate is asked to answer 6 questions only ,and to choose at least 2 questions from each group . In how many different ways can the candidate make up his choice ?

A question paper contains 12 questions , divided into three parts . Part A contains 6 questions parts B and C contain 3 questions each A candidate is required to attempt 6 questions , selecting at least 3 questions from part A and at least one from each of the parts B and C In how many ways can the candidate select his 6 questions ?

A question paper contains 12 questions divided into three parts.Parts A contains 6 questions while B and C contains 3 questions each.A candidate is required to attempt 6 questions selecting at least two from part A and atleast one from each of the parts B and C.In how many ways can the candidate select 6 questions?

There are 3 sections in a question paper each containing 5 questions. A candidate has to solve only 5 questions, choosing at least one question from each section. In how many ways can he make his choice ?

Mizanoor, Tiratha and nafura appeared for an examination, there were 10 Question in the examination. In this examination one will get 5 marks for each correct answer and -2 marks for each incorrect answer. A) Mizanoor has got 6 correct and rest 4 incorrect answers.

An examine is required to answer 6 questions out of 12 questions which are divided into two groups each containing 6 questions, and he is not permitted to answer more than 4 questions from any group. In how many ways can be answered 6 questions ?

An examinee is required to answer 6 questions out of 12 question which are divided into two groups each containing 6 questions ,and he is not permitted to answer more than 4 questions from any group . In how many ways can be answer 6 questions ?

For an examination a candidate has to select 7 subjects from 3 different groups A,B,C which contain 4,5,6 subjects respectively in how many different ways can a candidate make his selection if he has to select at least 2 subjects from each group?

If the best and the worst paper never appear together, find in how many ways six examination papers can be arranged.