AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
A
4 x 4 x 4 x 4 = 256
B
4 x 3 x 2 x 1 = 24
C
4 + 4 + 4 + 4 = 16
D
4 + 3 + 2 + 1 = 10
Explanation: 

Detailed explanation-1: -Each of these 64 combinations may also end with any of the 4 letters, thus giving a total of 64 x 4 = 256 codes.

Detailed explanation-2: -Answer and Explanation: Thus, 840 4-lettered passwords can be generated.

Detailed explanation-3: -So, for computing the number of possible passwords we have to use permutation. Thus, the number of possible passwords is 3024.

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