An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . 8, or 9, in succession. a. how many different possible pins are there if there are no restrictions on the choice of digits?

An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . . 8, or 9, in succession.

a. How many different possible pins are there if there are no restrictions on the choice of digits?

Solution: The are total 10 numbers between 0 and 9.

Also there are no restrictions on the choice of digits. Therefore, the possible number of different PINs is:

Therefore, there are 10,000 different possibles PINs.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b