Respuesta :
There are 6 kittens when you're deciding which one you want to pick, so there are 6 ways of chosing one. Then, the number of kittens lowers to 5, so there are 5 ways of picking another. At all, there are 30 ways of chosing 2 kittens out of 6.
There are 15 ways to choose 2 of the kittens from the litter
How to determine the number of ways?
The given parameters are:
- Litter = 6
- To select = 2
The number of ways to select the 2 kittens is:
Ways = [tex]^nC_r[/tex]
This gives
Ways = [tex]^6C_2[/tex]
The combination formula is:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^6C_2 = \frac{6!}{(6 - 2)!2!}[/tex]
Evaluate the difference
[tex]^6C_2 = \frac{6!}{4!2!}[/tex]
Expand
[tex]^6C_2 = \frac{6 * 5 * 4!}{4! * 2 * 1}[/tex]
Evaluate the quotient
[tex]^6C_2 = 15[/tex]
So, we have:
Ways = 15
Hence, there are 15 ways to choose 2 of the kittens from the litter
Read more about combination at:
https://brainly.com/question/11732255
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