Marissa is choosing a four-digit pin for her atm card. the first digit must be a digit from 1 through 9. for the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. which shows part of the sample space for marissa’s pin?

0123, 0456, 0789
1012, 1033, 1004
2345, 2034, 2134
3200, 4200, 5200

2345, 2034, 2134

Step-by-step explanation:

We know that the first digit out of the four-digit PIN must be between 1 to 9. Also, other three digits must be any combination of 0 to 9 with no repetition.

Now according to options:

A. 0123, 0456, 0789: the first digit is 0, which is not possible.

B. 1012,1033,1004: there is repetition in the last three digits of the 4-digit PIN, which is again not possible.

D. 3200, 4200, 5200: same as option B there is a repetition in the digits, which is not possible.

Hence, option C. 2345, 2034, 2134 is correct.

23

step-by-step explanation:

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: