Question

120. Six boys and five girls are to be seated for a
photograph in a row such that no two girls sit together
and no two boys sit together. Find the number of ways
in which this can be done.
(a) 64,500
(b) 76,800
(c) 86,400
(d) 92,500​

Answer 1

Answer:

86400

Step-by-step explanation:

Six boys and five girls are to be seated for a

photograph in a row such that no two girls sit together

and no two boys sit together

=> Boys and girls have to sit alternately

as Boys are 6 & girls are 5

so

BGBGBGBGBGB  is the only way

now 6 Boys can sit 6! ways

& 5 Girls can sit in 5! ways

total number of Ways = 6! * 5!

= 720 * 120

= 86400

86400 are the ways in which this can be done