A building company employs 3 labourers 12 joiners 8 electrician 4 plumbers. For a job, the company needs one of each type of wor

Question

2 years ago

5

ker in how may ways can the company choose four workers

1 answer:

Novay_Z [31] · Answer 1 · 2024-01-21T02:09:28+03:00

The number of ways that the company can choose four workers is 40920 ways.

<h3>How to calculate the number?</h3>

From the information, the building company employs 3 laborers 12 joiners 8 electrician 4 plumbers. The total number of workers will be:

= 3 + 12 + 8 + 4

= 27 workers

It should be noted that combination will be used to choose the 4 workers. This is illustrated as

Combination formula

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

where n = 33

r = 4

ⁿCr = n! / ((n – r)! r!)

³³C₄ = 33! / (33 - 4)! 4!

= 33! / 29! 4!

= 33 × 32 × 31 × 30 / 4 × 3 × 2

= 40920 ways

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