In a monthly test, the teacher decides that there will be three questions. one from each of Exercises 5, 6 and 7 of the text book. If there are 12 questions in Exercise 5, 18 in Exercise 6 and 9 in Exercise 7, in how many ways can the three questions be selected ?

A Student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 questions in part B, in how many ways can the student choose 10 questions?

In how many ways can 5 different books be tied up in three bundles?

A question paper has two parts: Part A and Part B. each part containing ten questions. If the student has to choose 8 questions form part A and 5 questions from part B. In how many ways can he choose the questions?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has: no girl.

A question paper consists of two sections having respectively, 3 and 5 questions. The followinng note is given on the paper "it is not necessory to attempt all the questions one questions from each section is compulsory". In how many ways can candidate select the questions?

How many even numbers are there with three digits such that if 5 is one of the digits, then 7 is the next digit ?

In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 questions in Part I, Part II and Part III respectively. What is the number of possible combinations in which she can choose the questions ?

There are three prizes to be distributed among 6 students. In how many ways can this be done when no boy gets more than one prize.

A mathematics paper consists of 10 questions divided into two parts I and II, each part containing 5 questions. A student is required to attempt 4 questions in all, taking at least 2 questions from each part. In how many ways can the student select the questions ?