the number of four digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is what.

Question

SHAIK AASIF AHAMED · Answer

Hello student, For an even number its unit digit should be 0,2,4 or 6 so there are 4 ways. For a 4 digit number __ __ __ __ 6 5 4 4 As it is a 4 digit number 1 st number shouldnot be zero.so 6 ways Hence total number of ways=6*5*4*4=480 ways Thanks and Regards Shaik Aasif askIITians faculty

Latika Leekha · Answer

There can be two cases: Case (1): When the first digit is even: We can have the first digit as 2 or 4 or 6 = 3 choices Similarly, the last digit can be any of 0, 2, 4 or 6 except the first chosen = 3 choices. Hence, total number of possibilities = 3. 5. 4.3 = 180 Case (2): When the first digit is odd: We can have the first digit as 1, 3 or 5 = 3 choices The last digit can be = 0, 2, 4, 6 = 4 choices Hence, the total number of possibilities = 3.5.4.4. = 240 Hence, the total number of cases = 180 + 240 = 420 ways. Thanks & Regards Latika Leekha askIITians Faculty

Thank you for registering.

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

Enter Your Details

Registration done!

the number of four digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is what.

the number of four digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is what.

2 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