Final answer:
The calculation for the total number of five-letter 'words' that start with a vowel and end with an S results in 175,760 different combinations, which does not match any of the provided multiple-choice options.this number is not one of the provided options (a) 20 (b) 80 (c) 120 (d) 240. Therefore, there seems to be a mistake in the question or the provided options. Please check the question or the options provided for any errors.
Step-by-step explanation:
The student has asked how many 'words' with five letters are there that start with a vowel and end with an S. For the purposes of this problem, we consider the English vowels to be A, E, I, O, and U. Since the first letter must be a vowel, there are 5 possible choices for the first position. The last position is fixed with the letter 'S', so there is only 1 choice for the final position. The three middle positions can be filled by any of the 26 letters in the alphabet (A-Z), giving us 26 choices for each of the 2nd, 3rd, and 4th positions.
To calculate the total number of possible 'words', we can use the multiplication principle of counting:
Therefore, the total number of 'words' is calculated as:
5 x 26 x 26 x 26 x 1 = 175,760
However, this number is not one of the provided options (a) 20 (b) 80 (c) 120 (d) 240. Therefore, there seems to be a mistake in the question or the provided options. Please check the question or the options provided for any errors.
In conclusion, though the calculation yields a result, the correct option isn’t present in the options provided. Please verify your question or the options you’ve been given.