Question

in how many ways letters of the word COTTON can be arranged so that two O's are placed in the right most and left most places​

Answer 1

wht??.......??.?????

Answer 2

• Total number of letters in the word cotton=6
• And the two O's are placed in the rightmost and left most places I.e. their position is fixed.
• Out of 6 positions, 2 places are already filled.
• So we are left with 4 positions vacant and 4 letters to be arranged.
• As repetition is allowed each vacant place can have all the 4 letters.
• 1st vacant place=4 letters

2nd vacant place=4 letters

3rd vacant place=4 letters

4th vacant place=4 letters

Total no. of ways=4*4*4*4=256

Hope this helps you.