In how many ways can the letters in the word BALLOON be arranged?
210, 1260, 2520, 5040

Solution:

There are 7 letters in the word BALLOON where L occurs 2 times and O occurs 2 times

Number of arrangements of 7 letter words = 7!/ (2! × 2!) = 1260

Considering 2 L as one letter we should arrange 6 letters in which O occurs 2 times.

Number of arrangements in which L is together = 6!/2!

= 6 × 5 × 4 × 3

= 360

Required number of ways in which L does not come together = 1260 - 360 = 900

Therefore, the letters in the word BALLOON can be arranged in 1260 ways.

In how many ways can the letters in the word BALLOON be arranged?

Summary:

The letters in the word BALLOON can be arranged in 1260 ways.