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From (8) subjects (4) subjects are to be selected but mathematics and biology cannot both be selected together. How many ways are there?(8) विषयों में से (4) विषय चुनने हैं लेकिन गणित और जीवविज्ञान दोनों साथ में नहीं चुने जा सकते। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (55)(55)
Total ways are (\binom{8}{4}=70) and if both special subjects are included there are (\binom{6}{2}=15) ways. Hence (70-15=55).कुल (\binom{8}{4}=70) हैं और दोनों विशेष विषय साथ हों तो (\binom{6}{2}=15) हैं। इसलिए (70-15=55) है।
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