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
To find the constant proportionality you would need to find the cost of one ticket which would be 9 dollars
Answer : 212
Reason why is because yu have 2/5 you multiply it across 8/1 5x1= 5 and 8x2= 16 then you will have 5/16 you divide 5 into 16 , 5 goes into 16 twice then subtract 16 and 10 then you would have 6 bring down the 0 and you have 60 . 5 goes into 60 12 times then you have your answer 212 .