+612 The inhabitants of the island of Jumble use the standard Roman alphabet (26 letters, A through Z). Each word in their language is 3 letters, and for some reason, they insist that all words contain the letter A at least once. How many 3-letter words are possible?
+129852 The A can appear in any one of 3 positions when it is used once
And there are 25 * 25 posiibilities for the other two positions
So..... C( 3, 1) * 25^2 = 1875
When the word has 2 A's....they can appear in any two of the three positions
And the the other position can be filled in 25 ways
So C(3,2) * 25 = 75
And only one word has three A's
So...the total possible words = 1875 + 75 + 1 = 1951
