Answer:
Hence, 15 different gender sequences are possible when 6 newborn babies are randomly selected.
Step-by-step explanation:
Number of randomly selected babies = 6
We need to find the possible number of different gender sequences.
Now, number of generally found genders = 2 (Male and Female)
So, we have to select 2 possibilities from a total of 6 babies.
This can be calculated by using the concept of combinations.
[tex]\text{So, Number of different gender sequences which are possible in this case = }_{2}^{6}\textrm{C}\\\\=\frac{6!}{4!\times 2!}\\\\=15[/tex]
Hence, 15 different gender sequences are possible when 6 newborn babies are randomly selected.