In-how-many-ways-can-4-boys-and-3-girls-stand-in-a-straight-line-a-if-there-are-no-restrictions-b-if-the-boys-stand-next-to-each-other-

Question Number 56212 by pieroo last updated on 12/Mar/19

In how many ways can 4 boys and 3 girls

stand in a straight line

a . if there are no restrictions

b . if the boys stand next to each other

Answered by tanmay.chaudhury50@gmail.com last updated on 12/Mar/19

a) f o r n o r e s t r i c t i i n \dots 7! = 5040

b) l e t f o u r b o y s f a v i q u i c k e d \dots

(b_{1} b_{2} b_{3} b_{4}) \leftarrow i t c o n s i d e r e d s i n g l e u n i t

s o p e r m u t a t i o n i s (1 + 3)! \times 4! = 576

Commented by pieroo last updated on 12/Mar/19

Thank you very much sir .

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