A lady wants to select one cotton saree and one polyester saree from a textile shop. If there are 10 cotton varieties and 12 polyester Varieties, in how many ways can she choose the two sarees ?

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?

A man has 10 friends. In how many ways he can invite one or more of them to a party?

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 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?

There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. In how many ways can the votes be given ?

In how many ways can 5 sportsmen be selected from a group of 10 ?

In a class there are 30 boys and 18 girls. The teacher wants to select one boy and one girl to represent the class for a quiz competition. In how many ways can the teacher make this selection ?

From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition, at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made ?

A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular and two on the other side. In how many ways can they be seated?

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 ?