A-blind-man-is-to-place-5-letters-into-5-pigeon-holes-how-many-ways-can-4-of-the-letters-be-wrongly-placed-note-that-only-one-letter-must-be-in-a-pigeon-hole-

Question Number 111732 by Aina Samuel Temidayo last updated on 04/Sep/20

A blind man is to place 5 letters into 5

pigeon holes, how many ways can 4 of

the letters be wrongly placed ?

(note that only one letter must be in a

pigeon hole)

Answered by mr W last updated on 04/Sep/20

o n e l e t t e r i s c o r r e c t a r r a n g e d :

t h e r e i s 5 w a y s

t h e o t h e r 4 l e t t e r s a r e d i s a r r a n g e d :

t h e r e a r e! 4 = 9 w a y s

\Rightarrow 5 \times 9 = 45 w a y s

Commented by Aina Samuel Temidayo last updated on 04/Sep/20

Thanks .