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A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is?
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A question-paper includes 12 questions in all. If 7 questions includin...
Calculation of Ways to Answer the Question Paper:
1. Total number of ways to choose 7 questions out of 12:
- Using combinations formula, this can be calculated as 12C7 = 792 ways.
2. Number of ways to choose at least one question from the first three questions:
- Total ways to choose 7 questions from the last 9 questions = 9C4 = 126 ways.
- Total ways to choose 6 questions from the last 9 questions = 9C6 = 84 ways.
- Total ways to choose 5 questions from the last 9 questions = 9C5 = 126 ways.
- Total ways to choose 4 questions from the last 9 questions = 9C4 = 126 ways.
- Total ways to choose 3 questions from the last 9 questions = 9C3 = 84 ways.
- Total ways to choose 2 questions from the last 9 questions = 9C2 = 36 ways.
- Total ways to choose 1 question from the last 9 questions = 9C1 = 9 ways.
3. Calculation of the required number of ways:
- Sum of all the ways calculated in point 2 = 126 + 84 + 126 + 126 + 84 + 36 + 9 = 591 ways.
4. Final Answer:
- The number of ways to answer the paper by choosing 7 questions, including at least one from the first three questions, is 591 ways.
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A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is?
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A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is?.
A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A question-paper includes 12 questions in all. If 7 questions including at least one from the first three questions are to be attempted the number of ways of answering the paper is?.
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