Question

How many possible birth orders with respect to gender are possible in a family with four children? (For example, BBGG & GGBG are different orders) How many possible birth orders for a family with 4 children are there ?

Answer 1

4 P 4 = 24 
4 P 4 = 4! (4-4)! = 4!/1 = 4*3*2*1
you are doing combinatorics, yes?

Answer 2

Using Permutation, we have 24 Possible birth orders with respect to gender are possible in a family with four children.

What is permutation?

Permutation is" an arrangement of its member into its sequence or linear order".

According to the question,

Formula for permutation, npₓ = $\frac{n!}{(n-x)!}$  where 'n' is the total number of objects 'x' is the number of objects to be selected.

4P₄ =  = 4×3×2×1 = 24.

Hence, 24 possible birth orders for a family with 4 children.

To learn more about Permutation here

https://brainly.com/question/3922877

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