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Quantitative Aptitude

Unit Digit of a Number

Number of six...

Question

Number of six digit numbers which have 3 digits even and 3 digits odd , if each digit is to be used atmost once is

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Solution

Dear student
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 =⁵C₃⁵C₃6!

but this number also include zero at first place

total number in which zero at place place = ⁵C₃⁴C₂5!
so total number =⁵C₃⁵C₃6! -⁵C₃⁴C₂5!
Regards

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