Question

How many different arrangements of the letters in the word "ALGEBRA" are there?

2,520
25
1,260
3.5

Answer 1

since it deals with permutation you'll have the formula when some things are identical as:
\[_nP_{n i} = \frac{ n! }{ i! i! ... }\]

Answer 2

huh

Answer 3

\[_7P_{7(2)} = \frac{ 7! }{ 2! }\]

Answer 4

remember that in the word ALGEBRA you have 2 A's and you have 7 letters all

Answer 5

the 2 A's are the identical things/letters you have. n is the total number of things/letters

Answer 6

you can rewrite it as
\[_7P {7(2)} = \frac{ 7! }{ 2! }\]
\[_7P {7(2)} = \frac{ 7\times6\times5\times4\times3\times2\times1 }{ 2\times1 }\]