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(3) questions are to be selected from (6) questions, but question (1) and question (2) cannot be selected together. How many selections are possible?(6) प्रश्नों में से (3) प्रश्न चुनने हैं, पर प्रश्न (1) और प्रश्न (2) साथ-साथ चुने नहीं जा सकते। कुल कितने चयन होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (16)(16)
Subtract selections containing both question (1) and question (2) from total (\binom{6}{3}). With the forbidden pair, the third question has (4) choices.कुल (\binom{6}{3}) चयन से वे चयन घटाएँ जिनमें प्रश्न (1) और प्रश्न (2) दोनों हैं। प्रतिबंधित जोड़ी के साथ तीसरा प्रश्न (4) तरीकों से चुना जाता है।
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