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Grade 12Analytical Geometry

How mant different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even positions

Profile image of Manish
12 Years agoGrade 12
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1 Answer

Profile image of bharat bajaj
12 Years ago
O E O E O E O E O
There are 9positions, 5 odd and 4 even.
Also, there are 4 odd digits and 5 even digits.
No. of ways in which odd digits can occupy evenpositions= 4! / (2! 2!)
No. of ways in which even digits can occupy oddpositions= 5! / (3! 2!)
Hence, required no. of ways = (4! 5!) / (2! 2! 3! 2!) = 60

Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

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