Question

How many different basketball teams of 5 players can be created from a group of 7 players?

Answer 1

35?

Answer 2

no
its C(7,5) = 7*6/2 = 21

Answer 3

In how many ways can the letters of the word CARPET be arranged?

Answer 4

I'm bad with these kinds of questions.

Answer 5

6! = 720

Answer 6

Last question, if you don't mind.
A die with a 10% chance of rolling a 6 is rolled 10 times in a row. What is the probability that a 6 is rolled exactly 2 times?

Answer 7

here
n= 10
p= .1 hence q= 1-p = 1-0.1 =0.9
here we need f(2) (required 2 successes)
C(10,2)*(0.1)^2*(0.9)^8 [C(10,2) = 45 ]

Answer 8

45 isn't one of my options.

Answer 9

only C(10,2) = 45