Question

Betsy is making a flag. She can choose 3 colors from red white blue and yellow. How many choices does Betsy have?

I get 8 or 16. Am I right? Do I count choices that are in diferint order as another choice?

r w b
r b w

Is that 1 choice or 2?

Answer 1

Poorly worded question.

So I will assume she can choose either 1, 2, or 3 colours. (It said "she can" not "she must" choose 3 colours)

one colour: 4 ways
two colours: C(4,2) = 6
three colours: C(4,3) = 4 ways

Of course arranging the colours of one of the choices would yield a different looking flag

1 colour: 4 ways
2 colours: 6 choices but each can be arranged in 2 ways, so 12 in total
3 colours: 4 choices, but each can be arranged in 6 ways, so 24 in total

for a total of 4 + 12 + 24 = 40 different flags

Answer 2

The number 57,733 contains two sets of digits in which one digit is the times as great as the other. What are the values of the digits in each set?

Answer 3

the ansyer is 4 choices only 3 choices

Answer 4

*answer

for "hafsah"