Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 151-160 of 600 questions.
In how many ways can (8) distinct books be arranged in a row?
A. (40320)
अलग-अलग वस्तुओं की रैखिक व्यवस्था (n!) होती है। परीक्षा में पहले वस्तुओं की संख्या पहचानें। / A linear arrangement of distinct objects is (n!). In exams, first identify the number of objects.
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A. (90)
अलग पदों के लिए क्रम महत्वपूर्ण होता है, इसलिए \(^{10}P_2=90\)। परीक्षा में पद अलग हों तो संयोजन नहीं लगाएं। / For different posts, order matters, so \(^{10}P_2=90\). In exams, do not use combinations when posts are distinct.
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A. (60)
यहां (5) अक्षरों में (2) समान हैं, इसलिए संख्या \(\frac{5!}{2!}=60\) है। परीक्षा में समान अक्षरों से भाग देना न भूलें। / There are (5) letters with (2) identical letters, so the number is \(\frac{5!}{2!}=60\). In exams, remember to divide by identical letters.
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In how many ways can first, second and third positions be awarded among (7) distinct players?
A. (210)
तीन क्रमित स्थानों के लिए \(^{7}P_3=7\cdot6\cdot5=210\)। परीक्षा में स्थानों का क्रम हमेशा महत्वपूर्ण मानें। / For three ordered positions, \(^{7}P_3=7\cdot6\cdot5=210\). In exams, ranks always mean order matters.
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In how many ways can (4) students be seated on (6) distinct chairs?
A. (360)
पहले कुर्सियां अलग हैं और (4) विद्यार्थी बैठेंगे, इसलिए \(^{6}P_4=360\)। परीक्षा में खाली कुर्सियों को भी ध्यान में रखें। / The chairs are distinct and (4) students are seated, so \(^{6}P_4=360\). In exams, account for unused chairs carefully.
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How many (3)-digit numbers can be formed from (1,2,3,4,5) without repetition?
A. (60)
तीन स्थानों के लिए (5,4,3) विकल्प हैं, इसलिए \(5\cdot4\cdot3=60\)। परीक्षा में बिना पुनरावृत्ति में विकल्प घटते हैं। / There are (5,4,3) choices for the three places, so \(5\cdot4\cdot3=60\). In exams, choices reduce without repetition.
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How many (3)-digit numbers can be formed from (0,1,2,3,4) without repetition?
A. (48)
सैकड़े के स्थान पर (0) नहीं आ सकता, इसलिए \(4\cdot4\cdot3=48\)। परीक्षा में प्रथम अंक पर शून्य की शर्त जरूर जांचें। / The hundreds place cannot be (0), so \(4\cdot4\cdot3=48\). In exams, always check the zero restriction on the first digit.
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How many different arrangements can be made from the letters of the word BHARAT?
A. (360)
कुल (6) अक्षरों में (2) समान हैं, इसलिए \(\frac{6!}{2!}=360\)। परीक्षा में समान अक्षरों का factorial हर में रखें। / There are (6) letters with (2) identical letters, so \(\frac{6!}{2!}=360\). In exams, put factorials of repeated letters in the denominator.
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In how many orders can a signal of (4) flags be made from (9) distinct flags?
A. (3024)
संकेत में क्रम महत्वपूर्ण है, इसलिए \(^{9}P_4=3024\)। परीक्षा में संकेत और कोड जैसे शब्दों में permutation सोचें। / Order is important in a signal, so \(^{9}P_4=3024\). In exams, words like signal and code usually indicate permutation.
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In how many ways can (5) boys and (4) girls be seated in a row so that all girls sit together?
A. (17280)
चार लड़कियों को एक ब्लॉक मानें, तब \(6!\cdot4!=17280\)। परीक्षा में साथ बैठने की शर्त में ब्लॉक विधि लगाएं। / Treat the four girls as one block, then \(6!\cdot4!=17280\). In exams, use the block method for togetherness conditions.
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