Darlene is adopting a pet. she can choose from 8 kittens and 6 puppies.How many ways can she choose a pet to adopt

Mathematics

2 answers:

juin [17]3 years ago

7 0

14 cause shes only getting 1 pet and there are 14 animals in total

Mandarinka [93]3 years ago

6 0

Answer: The required number of ways is 14.

Step-by-step explanation: Given that Darlene is adopting a pet and she can choose from 8 kittens and 6 puppies.

We are to find the number of ways in which she can choose a pet to adopt.

We have

the total number of pets that are available to choose from is given by

$n=8+6\\\\\Rightarrow n=14.$

Since Darlene is going to adopt only one pet, so we have

$r=1.$

Therefore, the number of ways in which she can choose a pet to adopt is given by

$^nC_r\\\\=^{14}C_1\\\\\\=\dfrac{14!}{1!(14-1)!}\\\\\\=\dfrac{14!}{1!13!}\\\\\\=\dfrac{14\times13!}{1\times13!}\\\\=14.$

Thus, the required number of ways is 14.

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