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No. of 6-digit nos. which have 3 digits even and 3-digits odd, if each digit is to be used at most once is?

7 years ago

147 Points

Dear Jee king

number of ways of selection of 3  even number from 0,2,4,6,8  is  5C3

number of ways of selection of 3 odd number from 1,3,5,7,9  is  5C3

Total ways =5C35C3 6!

but this number also include zero at first place

total number in which zero at place place = 5C34C2 5!

so total number  =5C35C3 6! -5C34C2 5!

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7 years ago
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