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All possible numbers are formed using th...

All possible numbers are formed using the digits 1, 1, 2, 2, 2 ,2, 3, 4, 4 taker all a time. The number of such numbers in which the odd dighits occupy even places is

A

160

B

162

C

175

D

180

Text Solution

Verified by Experts

The correct Answer is:
D

Odd digits are 1,1,3
Even places `2^(nd),4^(th),6^(th),8^(th)`
No . Of ways `=4_(C_3)xx(3!)/(2!)xx(6!)/(4!2!)=180`
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