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 31-40 of 600 questions.
How many ways are there to place (3) different coins in an order?
D. (6)
(3) अलग सिक्कों की व्यवस्था (3!=6) है। अलग objects की पूरी arrangement factorial से करें। / The arrangement of (3) distinct coins is (3!=6). Use factorial for full arrangement of distinct objects.
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How many ways are there to choose a monitor and assistant monitor from (10) students?
A. (90)
दो अलग पद हैं इसलिए \({}^{10}P_{2}=10\times9=90\)। अलग designation में order महत्त्वपूर्ण होता है। / There are two distinct posts, so \({}^{10}P_{2}=10\times9=90\). Order matters for different designations.
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What is the total number of arrangements of the letters of the word (RAVI)?
B. (24)
(RAVI) में (4) अलग अक्षर हैं इसलिए (4!=24)। सभी distinct letters हों तो factorial लगाएं। / The word (RAVI) has (4) distinct letters, so (4!=24). Apply factorial when all letters are distinct.
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In how many ways can (2) subjects from (6) subjects be placed in the first and second periods?
C. (30)
पहले पीरियड के लिए (6) और दूसरे के लिए (5) विकल्प हैं इसलिए (30)। timetable order में permutation लगता है। / There are (6) choices for the first period and (5) for the second, so (30). Timetable order uses permutation.
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What is the value of \({}^{4}P_{4}\)?
D. (24)
\({}^{4}P_{4}=4!=24\) होता है। जब (r=n) हो तो \({}^{n}P_{n}=n!\)। / \({}^{4}P_{4}=4!=24\). When (r=n), \({}^{n}P_{n}=n!\).
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How many (3)-digit numbers can be formed from digits (3,4,5,6) without repetition?
A. (24)
तीन स्थानों के लिए \(4\times3\times2=24\) तरीके हैं। बिना पुनरावृत्ति में हर अगले स्थान पर विकल्प घटता है। / For three places, there are \(4\times3\times2=24\) ways. Without repetition, choices decrease at each next place.
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How many ways are there to place (3) files from (7) different files on a shelf in order?
B. (210)
यह \({}^{7}P_{3}=7\times6\times5=210\) है। शेल्फ पर क्रम बदलने से व्यवस्था बदलती है। / This is \({}^{7}P_{3}=7\times6\times5=210\). Changing order on a shelf changes the arrangement.
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C. (30)
व्यवस्थाएँ \(\frac{5!}{2!2!}=30\) होंगी। समान अक्षरों के factorial से भाग देना न भूलें। / The arrangements are \(\frac{5!}{2!2!}=30\). Do not forget to divide by factorials of identical letters.
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In an exam, in how many ways can first, second and third ranks be obtained among (5) students?
D. (60)
तीन rank क्रम वाले हैं इसलिए \({}^{5}P_{3}=60\)। rank वाले प्रश्नों में combination नहीं, permutation लें। / The three ranks are ordered, so \({}^{5}P_{3}=60\). In rank questions, use permutation, not combination.
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If (3) different toys are placed in a row before (3) children, how many arrangements are possible?
A. (6)
(3) अलग खिलौनों की arrangements (3!=6) हैं। सभी objects अलग हों तो total arrangements factorial होती हैं। / The arrangements of (3) distinct toys are (3!=6). If all objects are distinct, total arrangements are factorial.
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