There are three blue balls, four red balls and five green bails, In how many ways can they be arranged in a row?

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

A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in a draw ?

A child has four pocket and three marbles. In how many ways can the child put the marbles in its pocket?

In how many ways can 3 people be seated in a row containing 7 seats ?

In how many ways can 12 different balls be divided between 2 boys, one receiving 5 and the other 7 balls? Also, in how many ways can these 12 balls be divided into groups of 5,4 and 3 balls, respectively?

Find the number of groups that can be made from 5 different green balls, 4 different blue balls and 3 different red balls, if at least 1 green and 1 blue ball is to be included.

Balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row of two balls and so on. If 669 more balls are added,then all the balls can be arranged in the shape of a square and each of the sides, then contains 8 balls less than each side of the triangle. Determine the initial number of balls.

There are 6 red and 8 green balls in a bag. 5 balls are drawn at random and placed in a red box. The remaining balls are placed in a green box. What is the probability that the number of red balls in the green box plus the number of green balls in the red box is not a prime number?

A bag contains 5 red balls, 8 white balls 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is : not green.