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Combination

Definition Of Combination

A combination is an arrangement of objects in which order does not matter.

Video Examples: Combinations - Counting Using Combinations

Example of Combination

There are 3 books on a shelf, a Math (M) book, a Science (S) book, and a French (F) book.
John wants to take any 2 books out.
The possibilities are: MS MF
SM SF
FM FS
Remove the repetitions SM, FM, FS as they are the same as MS, MF, and SF. Now, we are left with only 3 possibilities and they tell us the combinations of books that John can probably take out.

Solved Example onCombination

Ques: Find the number of possibilities of picking a ball from 3 balls.

Choices:

A. 1
B. 2
C. 3
D. 0
Correct Answer: C

Solution:

Step 1: The possibility of picking one ball from three balls is 3C1 = 3.