Consider the set of letters to write words (with English m…
Consider the set of letters to write words (with English meanning or not) on the alphabet . How many 5-letter words on the alphabet are there starting with a vowel? Justify your answer How many 6-letter words on the alphabet are there with exactly one letter and exactly one letter such that appears before ? Justify your answer How many palindrome 7-letter words on the alphabet are there? Justify your answer How many 8-letters words on the alphabet A are there with letters in alphabetic order? Justify your answer Note: A word is said to be palindrome if reversing its letters it is still the same word, e.g., and . Besides, the word has its letters in alphabetic order. Write your answers as numerical expressions involving additions, subtractions, multiplications as well as permutation and combinations. Do not compute the final numerical answer such that your instructor can identify your reasoning, otherwise, explain in work your answer.