The value of the digit nine in that number is ten, the nine os in the tens place
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Answer:
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
Step-by-step explanation:
The rectangle has a height of 5m⁴ and the width is m² - 2m - 1.The area of the rectangle is the product of the width and the height.
width = m² - 2m - 1
height = 5m⁴
area of rectangle = 5m⁴ × (m² - 2m - 1)
area of rectangle = 5m⁴(m² - 2m - 1)
area of the rectangle = 5m⁶ - 10m⁵ - 5m⁴
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴)
The area of the entire rectangle can be expressed as 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
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