Mathematics - Permutation & Combination Question with Solution | TestHub
MathematicsPermutation & CombinationnPr & nCrMedium2 minQB
MathematicsMediumsingle choice
Statement I: The number of ways of writing 1400 as a product of two positive integers is 12. (counting factor pairs without regard to order) Statement II: .
Options:
Answer:
A
Solution:
The factorization in II is 1400 = 2^3 x 5^2 x 7. It gives (3 + 1)(2 + 1)(1 + 1) = 24 positive divisors. Since 1400 is not a square, these form 12 unordered factor pairs, as specified in I. Hence both statements are true and II explains I.
Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr
⏱ 2mℹ️ Source: QB
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