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