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I just want someone to check if my answers are correct and if someone could possibly help me with c? Sorry for my horrible English, it's not my first language :/

 

 

The digits 1 up to 4 are written on a spinning top. Ella spins the top five times. This way she'll get a number of five digits, like 42313 or 13421

a. How many different numbers can Ella get? 45 = 1024 numbers

b. How many different numbers can she get if the number starts with an even digit and then alternates with an odd digit and then an even digit. 25 = 32

c. How many different numbers can she get if she spins two times a 2, two times a 4 and then one other (1 or 3) digit?

 Oct 14, 2019
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The digits 1 up to 4 are written on a spinning top. Ella spins the top five times. This way she'll get a number of five digits, like 42313 or 13421

a. How many different numbers can Ella get? 45 = 1024 numbers

4^5=1024 different possibilities     Correct

 

b. How many different numbers can she get if the number starts with an even digit and then alternates with an odd digit and then an even digit. 25 = 32

even, odd, even, odd, even,    2^5=32       correct

 

 

 

 

c. How many different numbers can she get if she spins two times a 2, two times a 4 and then one other (1 or 3) digit?

2,2,4,4,  (1 other 2 to chose from)

22441,   or  22443      in any order

5!/(2*2)   each

30 each

60 possibilities    (I'm pretty sure)

 Oct 14, 2019

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