My second approach is.
Is drawing two marbles out permutation or combination.
Using those letters we can create two 2 letter permutations ab and ba.
Assuming each color of marble is identical and it doesn t matter.
A with at least 2 yellow marbles.
However ab and ba represent only one combination because order is not important to a combination.
There are 4 red marbles 3 yellow 2 green and 1 blue marble.
The steps below will help you determine the problem type.
Drawing two aces 2 the impossibility of drawing two of the same card 3 and drawing two face cards 4.
Permutations and combinations quantitative aptitude tutorial with easy tricks tips short cuts explaining the concepts.
Online aptitude preparation material with practice question bank examples solutions and explanations.
Many students mistakenly approach a combination problem as a permutation and vice versa.
Actually these are the hardest to explain so we will come back to this later.
D with at most three colors represented.
Because order is important to a permutation ab and ba are considered different permutations.
In playing cards what is the probability to get exactly one pair for example 1 1 2 2 if we draw 5 cards.
Let us get started playing cards.
I reach into the bag and pick 5 marbles at random.
In permutation and combination problems it is very important to recognize the type of problem.
We are going to use combinations and permutations technique to do the counting part.
How many such picks are there of each of the following types.
The third problem in which we see that there s a 1 52 chance of drawing a card on the first pick but then a 0 51 chance of drawing it again yielding a probability of 0 is a big moment for a lot of kids.
There is a single combination to draw two yellow marbles and 6 possible combinations how to draw two marbles.
That s 311 875 200 permutations.
A bag contains 10 distinguishable marbles.
C with all four colors represented.
In this post we are going to provide a couple of probability practice questions and answers.
Problems 2 4 are similar.
E with at least two.
Solving a permutation or combination problem involves two steps.
There are also two types of combinations remember the order does not matter now.
You remove them from the bag one of the time without replacement.
B with at least 2 yellow marbles and at least 1 green marble.
Possibility of picking the first one yellow is frac 1 2 picking the second one yellow is frac 1 3 multiplying possibilities gives me the same result frac 1 6.
Should be permutations not combinations homework statement you have a bag of 10 marbles.
The next draw will have two less cards in the deck so there are now 50 options and so on.
Such as coins in your pocket 5 5 5 10 10 no repetition.
That s permutations not combinations.
