**What Is Selection Based on Given Condition?**

Selection based on a given condition is selecting the items asked while following the conditions. These conditions are important because they tell us how the answers are supposed to be. These conditions are statements; you have to keep these statements in mind and then answer them.

One of the types of examples of a selection question is Permutation and Combination.

A permutation is the selection and arrangement of objects/things in a specific way, while a combination is the selection and arrangement of objects/things without a specific way.

In banking selection, question types, permutations and combinations come under negative mark reasoning questions.

KEYWORD:examples of selection questions, banking selection question types, negative mark reasoning questions.

Example of A Selection Question (Permutation and Combination):

Here’s your first question based on counting.

Ex1- In how many ways can we pick any one item from three pens and two markers?

Solution 1- We can either pick the first pen. We can pick the first one or the second pen or maybe the third pen, or maybe we pick a marker: the first one or the second one. You can see that there are five ways in which we can pick any one item—three ways in which a pen can be picked. Plus, two ways in which your marker can be picked. Five ways in all.

**Another example of a selection question**

Ex 2- There was an intercollege dance competition for which a few boys and a few girls were to be selected. Out of the ten boys and the eight girls, three boys and three girls were to be selected. In how many ways can this be done?

Solution 2- There are a total of ten boys and eight girls. And out of these, we need to select three boys and three girls. Consider the boys and the girls separately. So, the two cases are: selecting three boys out of ten and selecting three girls out of eight.

10C3 8C3

So now, by doing the factorials, we can find the answer to the said question.

Next is the most asked banking selection question type:

Ex3- A test contains 10 multiple choice questions, each having 5 options (a, b, c, d and e). In how many ways can Ameya mark the answers if he attempts all the questions?

Solution 3- 5C1 * 4C1= 20 ways

CAT Examinations are known for their negative marks on reasoning questions. One of the examples of selection questions in that category is:

Ex4- There are six friends writing the TAC test for admission to nine MIIS. In how many ways could their final results be achieved if it is known that each student can get into at most one MII?

Solution- Each student has 10 outcomes (admission to one of the nine million or none).

Therefore, 10*10*10…. *10 = 1 million ways

Ex5- Let n be the total number of different 5-digit numbers with all distinct digits, formed using 2, 3, 4, 5 and 6 and divisible by 4. What is the value of n?

Solution 5-

_ _ _ _ _

Digit= 2,3,4,5,6

At the 4th and 5th positions, the numbers should be arranged in a way that they are divisible by 4.

E.g.- 4th 5th

2 4

3 2

5 2

3 6

6 4

5 6

So, in total 6*6 = 36 ways

One of the most important examples of selection questions-

Ex6- In how many ways can the numbers 1 to 15 be assigned to the 25 squares in a 5×5 grid, leaving 10 squares empty?

Solution 6-

There are 25 squares.

One of 1, 2…,15 is placed in these 25 squares in 25 ways. After placing the 1st number, the 2nd can be placed in the remaining 24 squares in 24 ways. 3rd number is in 23 squares in 23 ways.

Similarly, the 15th number in 11 squares in 11 ways.

Number of ways = 11 x 12 x …. x 23 x 24 x 25

**Conclusion**

In today’s world, reasoning is a very important topic and is considered one of the best criteria to judge someone’s critical thinking and data interpretation. Permutation and Combination is one of the most asked and best examples for selection, but it doesn’t end there. There is a concept of conditionalities and grouping that you can practice. There’s also team formation that would help you with the said improvement in logical thinking.