There are $m$ books in black cover and $n$ books in blue cover, and all books are different. The number of ways these $(m+n)$ books can be arranged on a shelf so that all the books in black cover are put side by side is
There are $m$ books in black cover and $n$ books in blue cover, and all books are different. The number of ways these $(m+n)$ books can be arranged on a shelf so that all the books in black cover are put side by side is
- [KVPY 2020]
- A
$m ! n !$
- B
$m !(n+1) !$
- C
$(n+1) !$
- D
$(m+n) !$
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$^n{C_r}{ + ^{n - 1}}{C_r} + ......{ + ^r}{C_r}$ =
$^n{C_r}{ + ^{n - 1}}{C_r} + ......{ + ^r}{C_r}$ =