Question

What is the answer to A key code must contain 4 letters and 3 numbers. The letters may be any letter of the alphabet. The numbers should be any number from 0 to 5. How many different key codes are there?
A. 17,576,612
B. 104,802,414
C. 68,224,318
D.98,706,816

Answer 1

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of letters they can use = 4

Number they can use = 3

Total number of letters we have = 26

Total number from 0 to 5 = 6

So, Number of different key codes is given by

$26\times 26\times 26\times 26\times 6\times 6\times 6\\\\=26^4\times 6^3\\\\=98,706,816$

Hence, there are 98,706,816 different key codes.

Thus, Option 'D' is correct.

Answer 2

Answer: 98,706,816 (D)

Step-by-step explanation: