Chapter 3.2, Problem 30EQ

There are 25 different varieties of flowering plants found in a natural habitat you are studying.  You are asked to randomly select 5 of these flowering plant varieties to bring back to your laboratory for further study.   How many different combinations of are possible?  That is, how many possible 5 plant subgroups can be formed out of the 25 total plants found?

A person is tossing a fair, two-sided coin three times and recording the results (either a Heads, H, or a Tails, T). Let E be the event that exactly two heads are tossed.   Which of the following sets represent the event E? Group of answer choices {HHT, HTH, THH}  {HHT, THH} {HHH, HHT, HTH, THH, TTT, TTH, THT, HTT} {HH}

Take Quiz 54m Exit Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, • • , 17, 19} Let C be the set of all square numbers: C = {1,4,9,16} ☐ Question 2 3 pts Which of the following statement(s) is true? Select all that apply. (1) АСВ (2) A and C are disjoint (mutually exclusive) sets. (3) |B| = n(B) = 10 (4) All of the elements in AC are even numbers. ☐ Statement 1 is true. Statement 2 is true. Statement 3 is true. Statement 4 is true.