Guest

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?

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?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

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!


Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

 

 

 

 

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free