How many poss. answers for T/F quiz w/ 30 Q's? 3-digit numbers w/ restrictions?

Fortem

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1. How many sets of an answer are possible for a true-or-false quiz of 30 questions?


2. How many different 3-digit numbers less than 500 can be formed from the integers 3,4,5,6,7 and 8
 
1. How many sets of an answer are possible for a true-or-false quiz of 30 questions?


2. How many different 3-digit numbers less than 500 can be formed from the integers 3,4,5,6,7 and 8

What are your thoughts?
 
1. How many sets of an answer are possible for a true-or-false quiz of 30 questions?
How many different results could you get in flipping a fair coin thirty times?

2. How many different 3-digit numbers less than 500 can be formed from the integers 3,4,5,6,7 and 8
If the number must be less than 500, what can the first (that is, the hundreds) digit be?

When you reply with your working so far (including your answers to my questions above), please clarify Question 2; in particular, please let us know if digits can be repeated (so "333" is allowed) or not. Thank you! ;)
 
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