Word/Number Formation
Formation of word:-
The number of arrangement of n things taken all at a time when p of them are identical of one type, q of them are identical of another type, r of them are identical of another type & remaining ‘n – (p + q +r)’ are all of different types is:
(Q). How many words can be formed from the letter of the word INDIA.
Solution:-
Here n = 5
p = 2 (I, I)
∴ total words =
= 5×4×3
= 60 Answer
(Q). How many words can be formed from the letters of the word MISSISSIPPI.
Solution:-
Here n = 11
p = 4 (I)
q = 4 (s)
r = 2 (p)
∴ total words =
= 34650 Answer
(Q). In previous question if 4 ‘I’ are always together.
Solution:-
∴ total words =
= 840 Answer