Answer to Question #347224 in Discrete Mathematics for Shalu

Question

How many strings can be formed in the length of 5 strings from the word DISCRETE?

Answer 1

There are 7 different letters in the word "DISCRETE":D,I,S,C,R,E, T.

If the repetition is allowed

$$7^5=16807$$

We assume that the letter E at the sixth place and the letter E at the eigth place are not different.

If the repetition is not allowed

$$\dfrac{7!}{(7-5)!}=2520$$