Question

10. How many two digit even numbers of distinct digits can be formed with the digits 1,
2,3,4,5?
​

Answer 1

Step-by-step explanation:

Forming a 2-digit number is same as finding the 2-digit number and also it includes the arrangement of numbers.

So, we can get the number of ways to form 2-digit number from the given set by using permutation.

Here, we have 5 digits and we need to choose 2-digits.  

Then, the number of 2-digit numbers formed from the given set without repetition is  

5

P  

2

​  

=  

(5−2)!

5!

​  

=  

3!

5!

​  

=20

The numbers formed by repetition are {11,22,33,44,55}  

∴ The number of 2-digit numbers formed from the given set with repetition =  

5

P  

2

​  

+5=20+5=25

Answer 2

Answer:

10 numbers

Step-by-step explanation:

such that the numbers are divisible by 4 &

we have 10 numbers.