How many ways can 7 students be selected from an organization of 30 to attend a national conference?

Determine the number of possibilities for selection. Express your solution in a complete sentence reflective of the scenario.

Respuesta :

The number of possibilities for selection is 2,035,000 ways

This question has to do with the combination

Given the following parameters

Total number of students = 30 students

If 7 students are to be selected from a pool of 30 students, the number of ways this can be done is expressed as:

30C7 = 30!/(30-7)!7!

30C7 = 30*29*28*27*26*25*24*23!/23!*7!

30C7 = 30*29*28*27*26*25*24/7!

30C7 = 10,260,432,000/5040

30C7 = 2,035,800

This shows that the number of possibilities for selection is 2,035,000 ways

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