Question

What is the total number of different ways can the letters of the word ABSENTEE be arranged?
2740​

Answer 1

Answer:

62720

Explanation:

The given word contains 8 letters of which E is taken 3 times.

∴ Required number of ways = 8!/3!

=8×7×6×5×4×3×2×16

=6720

Answer 2

Given:

The word = ABSENTEE

To Find:

Total number of different ways the letters can be arranged

Solution:

Total number of letters = 8

Consonants = 5

Vowels = 4

The vowel E is repeated three times in the word

Therefore,

Required number of ways = 8!/3!

Solving -

= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 3 × 2 × 1

= 8 × 7 × 6 × 5 × 4

= 6720.

Answer: Total number of different ways the letters can be arranged is 6720.