Question

A two digit number is formed from the digits 0,1,2,3,4. without repeating the digits.
Write the sample pace S and n(S)
Condition for event A : The number formed is even. Write the event A and n(A)
Condition for event B : The number formed is divisible by 5. Write event B and n(B)

Answer 1

Answer:

Solution

The sample space is

S={10,12,13,14,15,20,21,23,24,25,30,31,32,34,35,40,41,42,43,45,50,51,52,53,54}

∴n(S)=25

Now U is event that the number so formed is divisible by 5.

∴U={10,15,20,25,30,35,40,45,50}

∴n(U)=9