Question

how many words can be formed from letters of words CHENNAI, so that vowels will come together? a)720. b)360. c)5040. d)424​

Answer 1

Answer:

360

Step-by-step explanation:

if I am wrong then I am sorry

Answer 2

Answer:

The number words can be formed = 360

Step-by-step explanation:

Given word  

CHENNAI  

here we need to find number of words that can be formed from the word so that vowels will come together

number of consonants letters = 4    (C, H, N, N)

number of vowel letters  = 3   (E, A, I)

consider the set of vowel letters as one unit     (EAI), C, H, N, N

so that vowel letters comes together

⇒ the number of words that can be formed  = 5!/2!

⇒ the words can arranged among vowel letters = 3!

⇒ total number of can be formed = $\frac{5! }{2!} (3!)$

                                                        = (5×4×3×2!) (3×2×1) / 2!

                                                        = 5×4×3×3×2×1

                                                        =  360 words

The number words can be formed = 360 words

                                   option (b) is correct answer