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?

Question

Badiuddin askIITians.ismu Expert · Answer

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 =⁵C₃⁵C₃6!

but this number also include zero at first place

total number in which zero at place place = ⁵C₃⁴C₂5!

so total number =⁵C₃⁵C₃6! -⁵C₃⁴C₂5!

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

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

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?

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship