Answer:
2,500 different sets
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Let 4-digit PIN code be WXYZ
As first digit is a prime number
So, W = 1, 2, 3, 5, 7
n(W) = 5
X and Y are number from 0 - 9
So, n(X) = 10 & n(Y) = 10
Z makes the whole number divisible by 2.
So, Z must even number
So, Z = 0,2,4,6,8 or n(Z) = 5
We can calculate the number of different sets by using following formula,
n(W) × n(X) × n(Y) × n(Z)
By putting the value, we get
5 × 10 × 10 × 5 = 2,500
