Answer:
<h2>a) 120 ways</h2><h2>b) 6 unique ways</h2>
Step-by-step explanation:
The question will be solved using the permutation formula since are arranging. <u>Permutation deals with arrangement.</u>
If there we are to arrange n objects taking 'r' at a time, this can be done in nPr ways.
a) If you therefore have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. Since they are in a single file line, This can be done in 6P3 number of ways.
b) The number of unique ways to arrange the letters in the word DEN is 3! ways since there are only 3 letters in the word.
3! = 3*2*1
3! = 6ways
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Its hard to explain how to solve but I could just give you the answer: 4.4
Answer:
5/3
Step-by-step explanation:
Answer: 5
Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.