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five letter words are formed each containing 2 consonants & 3 vowels out of the letters of the word equation.in how many of these the two consonants are always together?

 five letter words are formed each containing 2 consonants & 3 vowels out of the letters of the word equation.in how many of these the two consonants are always together?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear manisha

equation = 3 consonent  +  5 vowel

two consonent can be selected =3C2  =3 ways

3 vowels  can be selected =5C3  = 10 ways

now two consonent will remain together so total word = 3*10*4!*2!= 1440

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