+0  
 
0
140
7
avatar+321 

 

 

 

 

 Apr 2, 2020
 #1
avatar+1195 
+2

Answer to #1: 2^95

 

Explanation:

The person has 95 candies left. If he eats at least one per day, then he can the eating out for as long as 95 days (1 per day), or 1 day (95 per day).

Or in other words, 95 choose 1 + 95 choose 2 ... + 95 choose 95.

That sum is simply 2^n (a formula you should know for this), and n=95, so the answer is 2^95.

 

You are very welcome!

:P

 Apr 2, 2020
 #2
avatar+1195 
+2

Answer to #3: 1,260

 

Explanation:

Since order doesn't matter, we can use the choose function.

2 are yellow, 3 are green, and 4 are blue.

\({9 \choose 2}=36\), since we are choosing 2 yellow out of 9 total.

Then \({7 \choose 3}=35\), 3 green out of 7 remaining.

4 out of 4 blue is 1.

36*35=1260.

 

You are very welcome!

:P

 

(Can someone double check? Thanks)

 Apr 2, 2020
 #5
avatar+111465 
0

I get  the same result, CoolStuffYT,  but  with a slightly different method.....smiley smiley smiley

 

 

cool cool cool

CPhill  Apr 2, 2020
edited by CPhill  Apr 2, 2020
 #3
avatar+111465 
+1

Third  one 

 

This is the same as the  number of "words"  we  can form with the letters  YYGGGBBBB

 

This  is

 

     9!

______  =   1260

2! 3! 4!

 

 

cool cool cool

 Apr 2, 2020
 #4
avatar
0

Thank you guys so much!

 Apr 2, 2020
 #7
avatar+1195 
+1

Just saying, I know this is from sparks academy cuz I'm in that same class

CoolStuffYT  Apr 4, 2020
 #6
avatar+111465 
+1

4th  one.....here's what I get.......

 

Anchor  a boy in any position

 

If  no  boy  can be  next to another,  they  must alternate  B - G - B - G    etc.

 

So.....the  number of arrangements  =   10! * 9 !

 

 

 

cool cool cool

 Apr 2, 2020

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