The number of different words that can be formed with the word TRIANGLE so that no two vowels are together is : (a)7200 (b)36000 (c)14400 (d)1240

Answer= 3*2*1*5*4*(6*5*4/((3^2)(3^2)))

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Option C  i.e. 14400 because there are eight letters in the word TRIANGLE in which TRNGL are consonants and IAE are the vowels there are  six places in which the the vowels can be placed in 6P3 ways and the consonants can be arranged in 5! ways so the total is 6P3 multiplied by 5! sothe answer is 14400.