How many 3-digit numbers can be formed from the digits 2 - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-3-digit-numbers-can-be-formed-from-the-digits-2/ Interview Questions Mon, 06 Sep 2021 09:51:30 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png How many 3-digit numbers can be formed from the digits 2 - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-3-digit-numbers-can-be-formed-from-the-digits-2/ 32 32 How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ? https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-3-digit-numbers-can-be-formed-from-the-digits-2-3-5-6-7-and-9-which-are-divisible-by-5-and-none-of-the-digits-is-repeated/ https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-3-digit-numbers-can-be-formed-from-the-digits-2-3-5-6-7-and-9-which-are-divisible-by-5-and-none-of-the-digits-is-repeated/#respond Tue, 17 Aug 2021 20:06:35 +0000 https://www.wikitechy.com/interview-questions/?p=1929

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

A. 5

B. 10

C. 15

D. 20

Answer : D. 20

Explanation:

Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of ways = (1 x 5 x 4) = 20.

]]> https://www.wikitechy.com/interview-questions/permutation-and-combination/how-many-3-digit-numbers-can-be-formed-from-the-digits-2-3-5-6-7-and-9-which-are-divisible-by-5-and-none-of-the-digits-is-repeated/feed/ 0