Respuesta :
Answer with explanation:
It is given that , a Spinner is separated into equal sections numbered 1 through 8.
Total Possible Outcome={1,2,3,4,5,6,7,8}=8
⇒When a Number cube is Rolled once, total possible outcome ={1,2,3,4,5,6}=6
⇒When a Number cube is Rolled twice, total possible outcome =6²=36
Total possible outcome of these three compound event
= 36 × 8
=288
⇒Total possible outcomes which contain all odd numbers
= Getting odd number on all three boxes
=[ Getting number {1,3,5,7} on first box] ×[ Getting numbers from set {1,3,5,} on Second and third box]
=[ Four numbers in a box can be arranged in 4 ways] ×[Three numbers in a box can be arranged in 3 ways]×[Three numbers in a box can be arranged in 3 ways]
= 4 × 3×3
=36
You must be thinking why not ,36 +36+36=108,by changing the Arrangement also.But here if you change the Order of arrangement of numbers then also you will get the same result.So, you can use the concept of Combination also.
[tex]=_{1}^{4}\textrm{C}\times_{1}^{3}\textrm{C}\times_{1}^{3}\textrm{C} \\\\=4 \times 3 \times 3\\\\=36[/tex]
Option C
