Answer:
a) 21684
b) 15504
Step-by-step explanation:
a) Distribute the comic books as follows
only to 1 kid one way but we have five kids then 5
to two kids C₂₀,₂ = 20! /2! ( 20-2)! = 20*19 /2 = 190
To three C₂₀,₃ = 20! /3! ( 20 - 3)! = 20*19*18 /6 = 1140
To four C₂₀,₄ = 20 ! / 4! ( 20 - 4 )! = 20*19*18*17 /4*3*2 = 4845
To five C₂₀,₅ = 20! /5! (20 - 5 )! = 20*19*18*17*16/5*4*3*2*1
C₂₀,₅ = 15504
Then total ways of distribution are:
5 + 190 + 1140 + 4845 + 15504 = 21684
b) C₂₀,₅ we know from a that is equal to 15504
Answer:
4/5 cups to make 1 pound of dog treats
Step-by-step explanation:
3/4 cups : 1 1/4 pounds
x cups : 1 pound
Cross multiply
3/4 * 1 = 1 1/4 * x
x = 3/4 / 1 1/4
= 3/4 / 5/4
= 3/4 * 4/5
= 3/5 cups
Answer:
Alina will get $54
Step-by-step explanation:
132/11 = 12
12x4.5 = 54
y = 19
x = 4(19) + 21(19) = 76 + 399 = 475
3(475) × 7
1425 × 7
9975 <--- answer.
Hope this helped!
Nate
