Solution:
The letters G, O, D can be arranged in ways
The letters AANNL can be arranged in ways
The desired number is
The number of ways of arranging the letters of the word NALGONDA, such that the letters of the word GOD occur in that order (G before O and O before D) is
The number of ways of arranging the letters of the word NALGONDA, such that the letters of the word GOD occur in that order (G before O and O before D) is
