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How many ways can a student select 5 questions from an exam containing 9 questions if he

must answer the first and the last?

AAAaannndd the bot gets it wrong yet again!

7C3 = ____

There are 6 ways for a student to select 5 questions from an exam containing 9 questions if he must answer the first and the last.

Did you know?

Did you know that when a student selects 5 questions from an exam containing 9 questions and is required to answer the first and the last, there are a total of 28 possible ways to make their selection? This can be determined using combinations, a mathematical concept that calculates the number of ways to choose a subset of items from a larger set. In this case, the student has already chosen the first and last questions, leaving 7 remaining questions from which they can choose 3 to complete their selection. By calculating the combination of 7 choose 3, we find that there are 35 possible ways to choose any 3 questions. However, since the first and last questions are already selected, we subtract the 7 ways in which the remaining 3 questions can be all chosen together. Thus, the final result is 35 - 7 = 28 possible ways for the student to select their 5 questions.