a business major needs 3 humanities courses to graduate. they can be selected from 29 courses offered. how many ways can the 3 courses be selected?

The sequence of the results is irrelevant when calculating the overall outcomes of an event using combinations.
We will use the formula nCr = n! / r! * (n - r)! to calculate combinations, where n denotes the total number of items and r denotes the number of things being chosen at a time.
The sum of all positive integers that are greater than zero and less than your number is known as a factorial.
An exclamation point is written after the number to represent a factorial.

Total no. of courses available = 29

Courses needed to graduate = 3

No of ways these courses can be selected:

= ²⁹C₃

= 29!/ [(29-3)! - 3!]

= 29! / 26! 3!

= 29 * 28 * 27 * 26!/ 26! 3*2

= 29* 14* 9

=3654

So, the number of ways 3 courses can be selected is 3654.

To know more about Combinations check the below link:

https://brainly.com/question/11732255

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