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From (7) science and (3) commerce students, (3) students are to be selected with exactly (1) commerce student. How many ways are there?(7) विज्ञान और (3) वाणिज्य विद्यार्थियों में से (3) विद्यार्थी चुनने हैं जिनमें ठीक (1) वाणिज्य विद्यार्थी हो। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (63)(63)
For exactly (1) commerce student, the ways are (\binom{3}{1}\binom{7}{2}=3\cdot21=63). Use that exact number when exactly is given.ठीक (1) वाणिज्य विद्यार्थी के लिए (\binom{3}{1}\binom{7}{2}=3\cdot21=63) तरीके हैं। ठीक शब्द पर वही संख्या लें।
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