Question #c5675

1 Answer
MattyMatty
Jan 5, 2018

1/66

Explanation:

"ARRANGEMENTS counts 12 letters :"
"2 ARNE and 1 GMTS."
"So the number of arrangements is : "
(12!)/((2!)^4 (1!)^4) = 29937600 " (multinomial distribution)"
"The number of arrangements beginning with EE is :"
(10!)/((2!)^3 (1!)^4) = 453600
"So the odds for an arrangement to begin with EE is : "
453600/29937600 = 1/66.

Related questions
Impact of this question
848 views around the world
You can reuse this answer
Creative Commons License