Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleEasy2 minQB

MathematicsEasyinteger

If number of numbers greater than 3000 , which can be formed by using the digits $0, 1, 2, 3$ , 4,5 without repetition, is $n$ then $\frac{n}{230}$ is equal to

Answer:

Solution:

No. of 4 digit numbers $= 3 \times 5 \times 4 \times 3 = 180$

No. of 5 digit numbers $= 5 \times 5 \times 4 \times 3 \times 2 = 600$

No. of 6 digit numbers $= 5 \times 5 \times 4 \times 3 \times 2 = 600$ $n = 1380$ $\Rightarrow \frac{n}{230} = 6$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

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