Q32 / 55 · KVPY 2020 (SA) · Mathematics

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

  • A
    m!n!
  • Correct answer
    B
    m!n+1!
  • C
    n+1!
  • D
    m+n!

Solution

Put all block cover books together

A1 A12 A3……Am→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)!

Hence, the correct answer is option: 'B'.

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