In how many ways can 4 light bulbs be selected from a batch of 43 lights bulbs to be tested for defects? Assume no light bulb will be tested more than once.

Respuesta :

Answer:

There are 123,410 ways

Step-by-step explanation:

The number of ways or combinations in which we can select k elements from a group of n elements is given by:

[tex]\frac{n!}{k!(n-k)!}[/tex]

In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.

So, the number of combinations is calculated as:

[tex]\frac{43!}{4!(43-4)!}=123,140[/tex]

It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects