Answer:
see explanation
Step-by-step explanation:
Given
Distribute the 3 parenthesis on the numerator
=
Collect like terms on the numerator
=
Divide each of the terms on the numerator by 4
= +
+
= - 6a + 9b - 12c ← factor out - 3 from each term
= - 3(2a - 3b + 4c)
Compare with
X(2a + Bb + Cc) to obtain
X = - 3, B = - 3, C = 4
Given:
Adam's locker has a password that consists of 4 non-repeated letters from A - Z.
To find:
The number of different passwords.
Solution:
Total number of letters from A - Z is 26.
So, the number of selecting a letter for first place is 26.
The passwords consists non-repeated letters. So, the remaining numbers is .
The number of selecting a letter for second place is 25.
Similarly,
The number of selecting a letter for third place is 24.
The number of selecting a letter for fourth place is 23.
The total number of possible different passwords is:
Therefore, the total number of different passwords is 358800.