Question

Find the number of different ways in which the 9 letters of the word GREENGAGE can be arranged if exactly two of the Gs are next to each other.

Can anyone plzz solve it?

Answer 1

in 36 places the word Greengage can be arranged

Explanation:

it is combination

9C2

9!/(9-2)!2! = 9!/(7!2!) =

9!= 9x8x7x6x5x4x3x2x1 = 362880

7! = 7x6x5x4x3x2x1= 5040

2!=2x1=2

9!/(7!2!) =362880/5040x2

= 362880/10080 = 36