Total no. of words of 5 letters formed by letters of the word BOMBAY. [You should use only 5 letter

M4maths Previous Puzzles

20 Jul 2012 words

Total no. of words of 5 letters formed by letters of the word BOMBAY.
[You should use only 5 letters out of 6 letters of the word BOMBAY]

OPtion

1) 60
2) 90
3) 120
4) 180
5) 240
6) 270
7) 300
8) 360
9) 450
10) none of these

Solution

1st case all the letters are different
total no. of words of this category = 5*4*3*2*1 = 120
2nd case B comes twice and 3 others
total no. of words of this category
= [(4*3*2*1)/(3*2*1)]*(5*4*3*2*1)/(2*1) = 240
so total words = 120+240 = 360

Correct Option: 8 Best Solution (1)