Answer:
There can be 14,040,000 different passwords
Step-by-step explanation:
Number of permutations to order 3 letters and 2 numbers (total 5)
(AAANN, AANNA,AANAN,...)
= 5! / (3! 2!)
= 120 / (6*2)
= 10
For each permutation, the three distinct (English) letters can be arranged in
26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways
For each permutation, the two distinct digits can be arranged in
10!/(10-2)! = 10!/8! = 10*9 = 90 ways.
So the total number of distinct passwords is the product of all three permutations,
N = 10 * 15600 * 90 = 14,040,000
Answer:lobster
Step-by-step explanation:
Substitute each x and the respecting y to the equation
Answer:
No
Step-by-step explanation
8 oz per cup meaning 40oz in 5 paper cups
6 oz per paper cup meaning 36 oz in 6 paper cups
Hey there!!
A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet
For heads, total = 40
Let us take the number of chickens as ' x ' and goats as ' y '
x + y = 40 ------------- ( 1 )
2x + 4y = 150 ----------- ( 2 )
Multiply the first equation with 2
2x + 2y = 80
2x + 4y = 150
Subtract the first equation from the first
2y = 70
y = 35
Number of goats = 35
substitute this in other equation
x + y = 40
x + 35 = 40
x = 5
Number of chickens are 4
Hope it helps!
