Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 7)
7.
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?
5
10
15
20
Answer: Option
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 numbers = (1 x 5 x 4) = 20.

Discussion:
88 comments Page 7 of 9.

Poonam said:   1 decade ago
Hi friends.

The remaining 5 digits can be arranged in 5! ways or 5p2 ways.

Shree Hemalatha said:   1 decade ago
How the 4 digits are coming in 100's place?

Could you explain me that ?

Kalai said:   9 years ago
In the third explanation I didn't understand please explain it.

Chandra said:   1 decade ago
n!/ (n-r) ! is the best formula and easy way to get answer.

Suganya said:   1 decade ago
Please explain the 1s 10s &100 place in number detaily.

Shivam said:   9 years ago
Why can't we write 5c2? There are two places and 5 numbers.

Shanthi said:   1 decade ago
Please explain 1s, tens, hundreds place numbers in detail.

Xyz said:   6 years ago
@Dinesh.

It is 5P2 = 5*4 =20.
If it is 5C2 = 5*4/2*1 =10.
(5)

Surbhi srivastava said:   1 decade ago
The greatest 4 digit number which is only divisible by 5.

Joel said:   10 years ago
I need some help on how to come up with those digits?


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