Question

How many arrangements of the word NEWFOUNDLAND are there?Page 5 of 12Previous PageNext Page

Answer 1

Step 1:

Concept

Number of way of arranging n different objects = n!

Step 2:

Word = NEWFOUNDLAND

N = 3

E = 1

W = 1

F = 1

O = 1

U = 1

D = 2

L = 1

A = 1

Step

Number of ways of arranging the word NEWFOUNDLAND

`\begin{gathered} \text{ = }\frac{12!}{3!\text{ 2!}} \\ =\text{ }(12*11*10*9*8*7*6*5*4*3*2*1)/(3*2*1*2*1) \end{gathered}`
`\begin{gathered} \\ =\text{ }(479001600)/(12) \\ =\text{ 39916800 ways} \end{gathered}`