Question
Match each item given under the column $C_1$ to its correct answer given under the column $C_2.$
Five boys and five girls form a line. Find the number of ways of making the seating arrangement under the following condition:
Five boys and five girls form a line. Find the number of ways of making the seating arrangement under the following condition:
|
|
$C_1$
|
$C_2$ | |
| $(a)$ |
Boys and girls alternate.
|
$(i)$ | $5! \times 6!$ |
| $(b)$ |
No two girls sit together.
|
$(ii)$ | $10! – 5! 6!$ |
| $(c)$ |
All the girls sit together.
|
$(iii)$ | $(5!)^2+ (5!)^2$ |
| $(d)$ |
All the girls are never together.
|
$(iv)$ | $2!\ 5!\ 5!$ |