Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minPYQ_2018
MathematicsMediumsingle choice

The number of numbers between2,000and5,000that can be formed with the digits0, 1, 2, 3, 4(repetition of digits is not allowed) and are multiple of3is

Options:

Answer:
A
Solution:

When a number is divisible by 3, then sum of digits of a number is also divisible by 3.

Number can be formed from (0,1,2,3) or (0,2,3,4).

Number of 4 digits number

=3×3×2×1+3×3×2×1

=36.

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr
2mℹ️ Source: PYQ_2018

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