Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Shouldnt it be like 150 idk
Step-by-step explanation:
Let the length be L.
Let the breath be B.
So, we are given that
length of a rectangle is 7 inches greater than three times its width .
So, according to the Question,
L = 7+ 3B.
So, we know that:-
Area = Length× Breadth.
So, it will be
B × (7 + 3B) = Area.
So,
3B² + 7 is an expression to represent its area.
Answer: 
, where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.
Hence, the equation that represents the given situation :
Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296
Step-by-step explanation:
