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 51-60 of 590 questions.
B. (5040)
\(7!=7\times6\times5\times4\times3\times2\times1=5040\)। बड़े क्रमगुणित को पिछले क्रमगुणित से गुणा करके निकालें। / \(7!=7\times6\times5\times4\times3\times2\times1=5040\). Find a larger factorial by multiplying the previous factorial.
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How can (8!) be written using (6!)?
A. \(8\times7\times6!\)
\(8!=8\times7\times6!\) होता है। क्रमगुणित को छोटे क्रमगुणित तक तोड़ना आसान तरीका है। / \(8!=8\times7\times6!\). Breaking a factorial down to a smaller factorial is an easy method.
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What is the value of \(\frac{9!}{7!}\)?
B. (72)
\(\frac{9!}{7!}=9\times8=72\)। समान (7!) भाग को काट दें। / \(\frac{9!}{7!}=9\times8=72\). Cancel the common (7!) part.
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What will be the value of (6!+1!)?
B. (721)
(6!=720) और (1!=1), इसलिए योग (721) है। जोड़ से पहले दोनों क्रमगुणित निकालें। / (6!=720) and (1!=1), so the sum is (721). Find both factorials before adding.
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What is the value of \(\frac{8!}{6!,2!}\)?
B. (28)
\(\frac{8!}{6!,2!}=\frac{8\times7}{2}=28\)। पहले बड़े क्रमगुणित को छोटे तक फैलाएं। / \(\frac{8!}{6!,2!}=\frac{8\times7}{2}=28\). Expand the larger factorial up to the smaller one first.
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If (n=4), what is the value of (n!)?
C. (24)
(n=4) रखने पर (n!=4!=24)। पहले चर का मान रखकर फिर क्रमगुणित निकालें। / Putting (n=4), (n!=4!=24). Substitute the variable first and then evaluate the factorial.
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What is the value of (2!+4!-1!)?
C. (25)
(2!=2), (4!=24) और (1!=1), इसलिए मान (25) है। क्रमगुणित को साधारण संख्याओं में बदलें। / (2!=2), (4!=24), and (1!=1), so the value is (25). Convert factorials into ordinary numbers.
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What is the value of \(\frac{10!}{9!}\)?
B. (10)
\(\frac{10!}{9!}=10\) क्योंकि \(10!=10\times9!\)। ऐसे सवाल में पूरा विस्तार लिखने की जरूरत नहीं होती। / \(\frac{10!}{9!}=10\) because \(10!=10\times9!\). In such questions, full expansion is not needed.
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What is the value of \(4!\times3!\)?
C. (144)
(4!=24) और (3!=6), इसलिए गुणनफल (144) है। पहले प्रत्येक क्रमगुणित अलग निकालें। / (4!=24) and (3!=6), so the product is (144). First evaluate each factorial separately.
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\(6\times5\times4\times3!\) is equal to which of the following?
A. (6!)
\(6!=6\times5\times4\times3!\), इसलिए दिया गया रूप (6!) है। विस्तार पहचानना क्रमगुणित प्रश्नों में जरूरी है। / \(6!=6\times5\times4\times3!\), so the given form is (6!). Recognizing expansions is important in factorial questions.
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