Question

If the words GANGA are written as in a dictionary,

what will be the 26th word?​

Answer 1

the 26th word will be z

Answer 2

The 26th word will be 'NAGAG'.

Explanation:

• This is a question based on the concept of permutations and combinations.
• The questions says us to find out the 26th ranked word when the letters from the word GANGA are arranged as in a dictionary.
• Now, the first thing to do in the complete process is to arrange the letters in the given word in ascending order as follows,

Ascending order of the letters - A, A, G, G, N

• Now, first we will concentrate on all the words starting from the A i.e., the letter A is now fixed and we want to find the number of ways in which we can arrange the remaining letters to form a unique word every time.
• The number of ways will be - $\frac{4!}{2!}$, the 2! in the denominator is because of the repeating letter G.
• Similarly, when we fix different letters at the first position and calculate the number of ways, we get the 26th word to be NAGAG from a total of 30 words dictionary.

Thus, this is the method to be followed to solve such kinds of questions.

#SPJ3