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Class 11MathematicsPermutations and CombinationsPermutationsHard
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A code has (4) letters followed by (3) digits, using (6) distinct letters and (10) digits. If letters and digits are not repeated and the last digit is even, how many codes are possible?

Answer and explanation

Correct answer: (129600)

Letters can be arranged in (^{6}P_4) ways, and digits with an even last digit in (5\cdot 9\cdot 8) ways. Count different parts of a code separately.

Related tags

PermutationsCodesDigitsPermutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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