Why this is not a solution to C? Did I get the answer correctly

(16,1 ) x ( 114, 4) represents the number of choosing only one senior, but the question asus for at least one series, so we are going to miss the possibility of 2.3.4 of an 5 Seniors here. In another word, ct means number of wars of selecting exactly one senist among the b senices. However womidn't make sense anymore. This because we already exhausted the possibility of choosing 6 seniors. So, the rest of the four- awarde cante didtributed amongst 9 students (which are pot Senices ). So, a better quess would have been exc but that would still only give us the total number of ways such that exactly one senior recieves the award u 4 (16,1 ) x ( 114, 4) represents the number of choosing only one senior, but the question asus for at least one series, so we are going to miss the possibility of 2.3.4 of an 5 Seniors here. In another word, ct means number of wars of selecting exactly one senist among the b senices. However womidn't make sense anymore. This because we already exhausted the possibility of choosing 6 seniors. So, the rest of the four- awarde cante didtributed amongst 9 students (which are pot Senices ). So, a better quess would have been exc but that would still only give us the total number of ways such that exactly one senior recieves the award u 4 (16,1 ) x ( 114, 4) represents the number of choosing only one senior, but the question asus for at least one series, so we are going to miss the possibility of 2.3.4 of an 5 Seniors here. In another word, ct means number of wars of selecting exactly one senist among the b senices. However womidn't make sense anymore. This because we already exhausted the possibility of choosing 6 seniors. So, the rest of the four- awarde cante didtributed amongst 9 students (which are pot Senices ). So, a better quess would have been exc but that would still only give us the total number of ways such that exactly one senior recieves the award u 4 (16,1 ) x ( 114, 4) represents the number of choosing only one senior, but the question asus for at least one series, so we are going to miss the possibility of 2.3.4 of an 5 Seniors here. In another word, ct means number of wars of selecting exactly one senist among the b senices. However womidn't make sense anymore. This because we already exhausted the possibility of choosing 6 seniors. So, the rest of the four- awarde cante didtributed amongst 9 students (which are pot Senices ). So, a better quess would have been exc but that would still only give us the total number of ways such that exactly one senior recieves the award u 4