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 181-190 of 600 questions.
A. (30240)
कुल (8!) से साथ बैठने वाली \(7!\cdot2!\) व्यवस्थाएं घटाएं। उत्तर (40320-10080=30240) है। / Subtract the together arrangements \(7!\cdot2!\) from total (8!). The answer is (40320-10080=30240).
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In how many ways can (5) men and (5) women sit alternately in a row?
A. (28800)
दो pattern संभव हैं और प्रत्येक में \(5!\cdot5!\) व्यवस्थाएं हैं। कुल \(2\cdot5!\cdot5!=28800\) है। / There are two possible patterns and each has \(5!\cdot5!\) arrangements. The total is \(2\cdot5!\cdot5!=28800\).
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How many (4)-digit numbers can be formed from (0,1,2,5,7,8) without repetition?
A. (300)
हजार के स्थान पर (0) नहीं आएगा, इसलिए \(5\cdot5\cdot4\cdot3=300\)। परीक्षा में पहले non-zero leading digit चुनें। / The thousands place cannot be (0), so \(5\cdot5\cdot4\cdot3=300\). In exams, first choose the non-zero leading digit.
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A. (2880)
पहले अंग्रेजी पुस्तकें (4!) तरीकों से रखें, फिर (5) gaps में (4) हिंदी पुस्तकें \(^{5}P_4\) तरीकों से रखें। कुल \(4!\cdot^{5}P_4=2880\) है। / Arrange English books first in (4!) ways, then place (4) Hindi books in (5) gaps in \(^{5}P_4\) ways. The total is \(4!\cdot^{5}P_4=2880\).
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In how many ways can a necklace be made with (9) distinct beads if flipping is considered the same?
A. (20160)
माला में घुमाव और पलटना दोनों समान होते हैं, इसलिए (\frac{(9-1)!}{2}=20160)। परीक्षा में necklace और circular table में फर्क रखें। / For a necklace, rotations and reflections are both the same, so (\frac{(9-1)!}{2}=20160). In exams, distinguish necklaces from circular table arrangements.
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A. (120)
कोड में क्रम महत्वपूर्ण होता है, इसलिए \(^{6}P_3=120\)। परीक्षा में code word दिखे तो permutation लगाएं। / Order is important in a code, so \(^{6}P_3=120\). In exams, the word code indicates permutation.
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How many arrangements are possible using all letters of SAFAL?
A. (60)
(5) अक्षरों में (2) समान हैं, इसलिए \(\frac{5!}{2!}=60\)। परीक्षा में repeated vowel को ध्यान से देखें। / There are (5) letters with (2) identical letters, so \(\frac{5!}{2!}=60\). In exams, check repeated vowels carefully.
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What is the number of ways to arrange (4) objects selected from (10) distinct objects in a row?
A. (5040)
यह \(^{10}P_4=10\cdot9\cdot8\cdot7=5040\) है। परीक्षा में selected and arranged हो तो \(nP_r\) लगाएं। / This is \(^{10}P_4=10\cdot9\cdot8\cdot7=5040\). In exams, selected and arranged means use \(nP_r\).
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A. (360)
गोल माला के लिए संख्या (\frac{(7-1)!}{2}=360) है। परीक्षा में garland में reflection को भी समान मानें। / For a circular garland, the number is (\frac{(7-1)!}{2}=360). In exams, count reflection as the same for garlands.
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How many (3)-digit numbers greater than (400) can be formed from (1,2,4,6,8) without repetition?
A. (36)
सैकड़े के स्थान पर (4,6,8) आ सकते हैं और बाकी \(4\cdot3\) तरीके हैं। कुल \(3\cdot4\cdot3=36\) है। / The hundreds place can be (4,6,8), and the remaining places have \(4\cdot3\) ways. The total is \(3\cdot4\cdot3=36\).
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