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How many ordered arrangements of (3) letters can be formed from (5) distinct letters if repetition is not allowed?(5) अलग-अलग अक्षरों में से (3) अक्षरों के कितने क्रम बनेंगे यदि पुनरावृत्ति अनुमति नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (60)(60)
This is an ordered selection of (3) from (5), so it is (^{5}P_{3}). When there is no repetition and order matters, use permutation.यह (5) में से (3) का क्रम सहित चयन है, इसलिए (^{5}P_{3}) होगा। बिना पुनरावृत्ति और क्रम हो तो क्रमचय लगाएं।
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