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Grade: 12
        
How mant different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even positions
4 years ago

Answers : (1)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							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
4 years ago
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