Question

find the number of words with or without meaning , which can be made by using all the letters of word ganga

Answer 1

There are total 5 letters , of which A occur two times and G occur 2 times

Therefore , The number of permutations starting with A is 4! i.e 24

Thus , 25th word will be start from G i.e GGAAN

By rearranging according to the dictionary , we get

The 26th word will be GGANA

Hence , the 26th word is GGANA

Answer 2

30

Explanation

total number of letters in the word, n = 5

out of which G and A repeats 2 times each

p1 = p2 = 2

according to the equation of number of permutations,

=
`(n!)/(p_(1)! p_(2)! )`

total number of words = 5!/ (2! x 2!)

= 30