What will be the ratio of number of arrangements obtained using all th

1.	What will be the ratio of number of arrangements obtained using all the letters of the word ROLLS and DOLLS?
Answer» In 5 letters of the word ROLLS, the letter L comes two times. Total permutations = \(\frac{5!}{2!}=\frac{120}{2}\) = 60 In 5 letters of the word DOLLS, the letter L comes two times Total permutations = \(\frac{5!}{2!}=\frac{120}{2}\) = 60 ∴ The ratio of number of arrangements of all the letters of the word ROLLS and DOLLS = 60 / 60 = 1 / 1 = 1 : 1

What will be the ratio of number of arrangements obtained using all the letters of the word ROLLS and DOLLS?

Answer»

In 5 letters of the word ROLLS, the letter L comes two times.

Total permutations = \(\frac{5!}{2!}=\frac{120}{2}\) = 60

In 5 letters of the word DOLLS, the letter L comes two times

Total permutations = \(\frac{5!}{2!}=\frac{120}{2}\) = 60

∴ The ratio of number of arrangements of all the letters of the word ROLLS and

DOLLS = 60 / 60 = 1 / 1 = 1 : 1