probability - Gabby's elementary school principal wants to hire some new teachers. 4 teachers applied for one 1st grade teaching job, and 7 teachers applied for one 2nd grade teaching job. There is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job. How many different ways can Gabby's principal hire new teachers?

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probability counting principle Mathematics High-school syllabus questions

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Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

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Step 1: Understand the given question and find the total number of possibilities.

NOTE: The Counting Principle says that you can multiply the number of

choices to find the total number of possibilities.

GIVEN: 1st grade teacher = 4,

2nd grade teacher = 7 and

3rd grade teacher = 3.

Possible ways = 4 × 7 × 3 = 84

Gabby's principal can hire new teachers in 84 different ways.