In how many ways can the letters of the word, ‘TECHNOLOGY’ be arranged? Choose the correct choice from the following options.
A) 1804400
B) 1814400
C) 1714400
D) 1704400
E) 1724400
The word ‘TECHNOLOGY’ contains 10 letters namely 2O, 1T, 1E, 1C, 1H, 1N, 1L, 1G, 1Y.   Therefore, Required number of ways= 10!/(2!)(1!) (1!) (1!) (1!) (1!) (1!) (1!) (1!)   = 10! / 2!   = 10*9* 8*7*6*5*4*3*2*1/2*1= 
<gadget id="calculator">10*9* 8*7*6*5*4*3*2*1/2*1</gadget>
<output>1_814_400</output>
1814400   ANSWER:1814400
<result>B</result>
In how many ways can the letters of the word, ‘TECHNOLOGY’ be arranged?