How many unique ways are there to arrange the letters in the word NEIGHBOURHOOD?

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18 Jan 2018 Arrangement How many unique ways are there to arrange the letters in the word NEIGHBOURHOOD?: OPtion
1) 1037836800
2) 345945600
3) 172972800
4) 518918400
5) 691891200
6) 701801200
7) 448941600
8) 845689000
9) 228918400
10) None of these; Correct Option: 4 Best Solution (4)

G.S.Kantharao 6 years AGO

Total letters 13
Repeated letters 5(o thrice h twice)
Unique ways=13!/3!*2!=5189189400
Hence my option is 4👈

Like? Yes (3) | No

SAYAN CHATTERJEE 6 years AGO

Total no. Of ways is
13!/2!/3!
= 518918400

Like? Yes (2) | No

AYAN PAUL 6 years AGO

There are total 13 letters in this word
So to arrange those letters uniquely no of ways will be
13!/3!*2! as the letter O repeats 3 times and the letter H repeats 2 times
So the final ans will be 518918400

Like? Yes (1) | No

Varun 6 years AGO

Number of letters = 13
Repeated : 3-O,2-H
So, arrangements = 13!/(3!*2!)
= 518918400

Like? Yes (1) | No

Dimple

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Punjab

Time: 00:01:33

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How many unique ways are there to arrange the letters in the word NEIGHBOURHOOD?

M4maths Previous Puzzles

18 Jan 2018 Arrangement