Ten students are participating in a race. In how many ways can the first three prizes be won?

In how many ways can a tissue grow in size?

Ten horses are running a race. In how many ways can these horses come in the first, second and third place, assuming no ties ?

Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done ?

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done ?

In how many ways can five children stand in a queue ?

Eight children are to be seated on a bench. In how many ways can the children be seated ?

In how many ways can 8 students be seated in : a line ?

There are 4 students for physics, 6 students for chemistry and 7 students of mathematics gold medal. In how many ways one of these gold medals be awarded?

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?

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 ?