Grade 12Algebra

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

Pranit Bangera

14 Years agoGrade 12

4 Answers

Chetan Mandayam Nayakar

14 Years ago

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

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govind redddy

14 Years ago

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.

jareen samoht

11 Years ago

it is 36000

Umang goyal

8 Years ago

By gap methodThere are 5 consonant and 3vowels there are 6c3 ways of selecting vowels.they can arrange in 3! Also consonant In 5! WaysSo total ways 6c3×3!×5!=14400