Question

Count all the ways to rearrange the letters in the word BRASIL.

Answer 1

Since, there are 6 letters & all are distinct, so if we rearrange them to make a 6letter word,

for 1st place, we have any of 6 possibilities= 6 ways

for 2nd place, we have all 5(except the one that we had used at 1st place) = 5waya

similarly for 3rd, 4th, 5th & 6th place, we have 4, 3, 2 & 1 ways respectively because the letters that had been used, can’t be used again so number of ways reduced by 1 every time.

So total number of words = 6*5*4*3*2*1 = 6! = 720