Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. she will list the books in the order in which they are chosen. how many different lists are possible? a. 6b. 40c. 210d. 5,040e. 151,200

D. 5040

Step-by-step explanation:

Given : The total number of books = 10

The number of books required by Clarissa = 4

Now , when we select r things from n things and order in which they are chosen matters then we use permutations to calculate the number of  different lists are formed to choose them.

The number of permutations of n things taking r at a time is given by :-

For r= 4  and n= 10 , we have

Hence, the number of different lists are possible = 5040

Therefore , the correct answer = D. 5040

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.