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.#

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