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

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

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
8 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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