Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The number of 4 digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repitition is

The number of 4 digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repitition is

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
Let AB C Drepresent the 4digit number.
The placeD can be filled with any of the 0, 2, 4, 6 in 4 different ways.
The other 3 places can be filled in 6 × 5 × 4 ways.
Hence, total number of ways = 4 × 6 × 5 × 4 = 480
But, this inclides numbers such that position A is filled with 0
No. of such numbers = 1 × 3 × 5 × 4 = 60
Hence, required no. of ways = 480 - 60 = 420
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

Think You Can Provide A Better Answer ?

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

ASK QUESTION

Get your questions answered by the expert for free