Which response is better give justification

Response 1 @ Sure! | can help you find the number of generators of a cyclic group of order 12: A cyclic group of order n has exactly (n) generators, where is Euler's totient function. p(n) counts the positive integers less than or equal to n that are relatively prime (have no common factors other than 1) with n. Here's how we find (12): The numbers less than or equalto 12 are: 1, 2, 3, 4, 5, 6, 7, 8, 9,10, 11,12 Of these, only 1, 5, 7, and 11 are relatively prime to 12. Therefore, (12) = 4 Hence, a cyclic group of order 12 has 4 generators. Please select a score to indicate which response is better. 1 2 3 Response 1is much better Response 1is better Response 1is slightly better 4 Mo preference Response 2 Sure! | can help you find the number of generators of a cyclic group of order 12: The number of generators of a cyclic group of order n is equal to wp(n), where @(n) is Euler's totient function, which counts the positive integers less than or equal to n that are relatively prime (have no common factors other than 1) to n. Let's find (12): The positive integers less than orequal to 12 are: 1, 2, 3, 4, 5, 6, 7, 8,9,10,1, 12 1is relatively prime to 12 5 is relatively prime 1o 12 7 is relatively prime to 12 11 is relatively prime to 12 Therefore, p(12) = 4 So, a cyclic group of order 12 has 4 generators. 5 6 7 Response 2 is slightly Response 2 is Response 2 is much better better better