Question

#3 (1+2+1=4 marks) A palindrome is a sequence of characters that reads the same both forwards

and backwards. For example, GLENELG is a palindrome. In this question, we restrict ourselves to

uppercase letters only.

(a) How many palindromes of length 5 are there?

(b) How many palindromes of length 5 are there that contain a vowel?

(c) How many palindromes of length 5 are there that contain exactly one vowel?

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