KVPY2020MathematicsPermutation and Combination
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 book in black cover are put side by side is
Options
- Am ! n !
- Bm ! n + 1 !
- Cn + 1 !
- Dm + n !
Correct answer
B. m ! n + 1 !
Step-by-step solution
Put all block cover books together A 1   A 12   A 3 … … A m → α Total number of books n + 1 These books be arranged in n + 1 ! ways and m books be arranged m ! ways No. of way = m ! ( n + 1 ) !