Question

n) Find the number of permutation of letter in the word 'DIVYA'​

Answer 1

The number of permutation of letter in the word 'DIVYA'​ is "120".

Step-by-step explanation:

The word 'DIVYA'​ 5 different letters.

∴ The number of required word = Number of arrangements of 5 letters taken all at a time

= $5P_{5}$

= $\dfrac{5!}{(5 - 5)!}$

= $\dfrac{5!}{(0)!}$

= 5! = 5 × 4 × 3 × 2 × 1

= 120

Hence, the number of permutation of letter in the word 'DIVYA'​ is "120".

Answer 2

Answer:

120

Step-by-step explanation:

The word DIVYA consist of 5 distinct letters

The number of permutation of the letter of the word DIVYA =5p5

=5!

=120