# Choosing 5 balls from 3 buckets

176 views

Consider we need to choose 5 balls out of three different color buckets. Each bucket has all balls of same color as bucket. Assume each bucket has infinite balls.

In how many ways balls can be chosen ?

posted Jan 2, 2014

Each ball can be chosen in 3 different ways and choose of one ball will not effect other ball. So number of ways would be 3*3*3*3*3 i.e. 243.

permutations will be 243. how to calculate combinations ? Manually it comes out to 21.
e.g. aaabb and aabab are same.
Combinations will not apply in this case as we can choose ball one by one.

Similar Puzzles

In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6 ?

A bag contain 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is four time that of a red ball, then find the number of blue balls in the bag.

+1 vote

Can you tell us whats the probability of choosing correct answer in this random manner.

1) 1/4
2) 1/2
3) 1
4) 1/4

+1 vote

A bag contains 5 white, 4 red and 3 black balls. A ball is drawn at random from the bag, what is the probability that it is not black?