If a couple has six boys and six girls, how many gender sequences are possible? Show...

Question

Question

If a couple has six boys and six girls, how many gender sequences are possible? Show all work

Answer 1

Answer #1

Answer

total number of children = 12

number of boys = 6

number of girls = 6

we can arrange 12 children in 12! ways

similarly, boys and girls can be arranged in 6! and 6!

Total number of ways = (number of ways of arranging 12 children)/(number of ways of arranging boys*number of ways of arranging girls)

= 12!/(6!*6!)

= (12*11*10*9*8*7*6!)/(6!*6!)

= (12*11*10*9*8*7)/6!

= 924 sequences

Answer 2

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