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In how many ways ANUBHAW can be arranged in which all consonants are together?


1. 288
2. 828
3. 266
4. 622

1 Answer

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Best answer
Correct Answer - Option 1 : 288

Concept used:

Number of all the permutations of n things = n!

Calculation:

The given word is ANUBHAW in this word we take all consonants as one letter

AUANBHW  in this word NBHW treat as one letter

This arrangement has 4 letters of which A appears two times 

⇒ Number of ways = 4!/2!

⇒ (4 × 3 × 2!)/2!

⇒ 12

Now, four consonants can be arranged among them as 4! = 4 × 3 × 2× 1

⇒ 24 ways 

Required number of ways = 12 × 24

⇒ 288

∴ The required number of ways is 288

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