How many words can be formed by using any 5 letters from the word CALCUTTA

M4maths Previous Puzzles

16 Sep 2011 word

How many words can be formed by using any 5 letters from the word CALCUTTA

OPtion

1) 120
2) 56
3) 7
4) 210
5) 90
6) 420
7) 300
8) 180
9) 390
10) none of these

Solution

Distribution of letters of the word CALCUTTA is A 2 times, C 2 times, L 1 time, T 2 times, U 1 time
Total 5 letter words having all letters different = 5*4*3*2*1 = 120
Total 5 letter words having 1 letter repeated = 3*(5*4*3*2*1)/2 = 180
Total 5 letter words having 2 letters repeated = 3*(5*4*3*2*1)/2*2 = 90
so total words are 390

Correct Option: 9 Best Solution (0)