How many 5 letter words containing 2 y's?

Answer 1

To determine the number of 5-letter words containing exactly 2 'y’s, we can consider the placements of the 'y’s and the remaining letters. First, choose 2 out of the 5 positions for the 'y’s, which can be done in ( \binom{5}{2} = 10 ) ways. The remaining 3 positions can be filled with any letters from the alphabet (assuming no restrictions), giving us ( 26^3 = 17,576 ) combinations. Therefore, the total number of 5-letter words with exactly 2 'y’s is ( 10 \times 17,576 = 175,760 ).