Answer to Question #254380 in Statistics and Probability for kayjay

Question

Consider the letters from the word ACCOUNT. How many ways can 3 letter words be formed without using the letter C and end with the letter A, if repetition is not allowed.

Answer 1

QUESTION

Consider the letters from the word ACCOUNT. How many ways can 3 letter words be formed without using the letter C and end with the letter A, if repetition is not allowed.

ANSWER

We have letters A, O, U, N, T

The third letter is certainly A

There are 4 possibilities of the first letter(O, U, N, T)

There are 3 possibilities of the second letter(any letter except of A and the first letter)

So, in total, there are 4*3 = 12 ways to form such a word.