There are 2 students for Physics, 3 students for chemistry and 1 student for Mathematics Gold medal. In how many ways one of these Gold medals be awarded ?

There are 3 candidates for a Physics, 5 for a Chemistry and 4 for a Mathematics scholarship. In how many ways one can these scholarships be awarded ?(one scholarship per subject)

There are 3 candidates for a Physics, 5 for a Chemistry and 4 for a Mathematics scholarship. In how many ways can these scholarships be awarded ?(one scholarship per subject)

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen ?

From a class of 25 students, 10 are to be chosen for an excursion party, there are 3 students who decide that either all of them will join or none of them will join . In how many ways can the excursion party be chosen ?

A class has 175 students following is the description showing the number of students studying one or more of the following subjects in this class mathematics 100 physics 70 chemistry 46 mathematics and physics 30 mathematics and chemistry 28 physics and chemistry 23 mathematics physics and chemistry 18.how many students are enrolled in mathematics alone physics alone and chemistry alone?are there students who have not offered any of these three subjects.

In a survey of 35 students of a class it was found that 17 students like mathematics and 10 like Mathematics but not Biology. Find the number of students who like (i) Biology, (ii) Biology but not Mathematics, it being given that each student takes at least one of the two subjects.

The marks scored by a student in Physics, Chemistry and Mathematics are 87,80 and 89 respectively. Find the minimum marks he should score in computer science to have an average of at least 86 marks.

In how many ways can 4 subjects be chosen by two students so that each student should take at least one subject ?

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

In a school there are 100 students 60 of them don't like chocolate ad 50 don't like Biscuit and 10 of them like none then how many of them like both ?