Question

Find the number of strings of six lowercase letters from the english alphabet, which satisfies the given conditions. six lowercase letters contain the letter a.

Answer 1

The number of strings of six lowercase letters from the English alphabet that contain the letter 'a' is 637,560.

Step-by-step explanation:

To find the number of strings of six lowercase letters from the English alphabet that contain the letter 'a,' we can use the concept of permutations. There are 26 letters in the English alphabet, and we need to choose 5 more letters from the remaining 25 letters after fixing 'a.'

So, the number of strings can be calculated as:

Number of Strings = 25P5

Using the permutation formula, we have:

25! / (25-5)!

Simplifying the expression, we get:

25 × 24 × 23 × 22 × 21 = 637,560

Therefore, there are 637,560 strings of six lowercase letters from the English alphabet that satisfy the given conditions.