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Question

Quantitative Ability and Data Interpretation Question on Permutation and Combination

How many ten-digit numbers can be formed using all the digits of 2435753228 such that odd digits appear only in even places?

A

2! 3! 5!

B

(5!)2(5!)^2

C

(5!)23!\frac{(5!)^2}{3!}

D

(5!)23!(2!)2\frac{(5!)^2}{3!(2!)^2}

Answer

(5!)23!(2!)2\frac{(5!)^2}{3!(2!)^2}

Explanation

Solution

The Correct option is (D):(5!)23!(2!)2\frac{(5!)^2}{3!(2!)^2}