
Many thanks to Reader’s Digest for this fun and yummy brain teaser. Here is the solution and the link:
https://www.rd.com/list/spot-the-difference/


Many thanks to Reader’s Digest for this fun and yummy brain teaser. Here is the solution and the link:
https://www.rd.com/list/spot-the-difference/

There are 10 books to choose from on a reading list. Mr. Lee would like his students to read any 5. Tameka chooses 5 books randomly as does Nadeem. Find the probability there are exactly two books they both choose.
10 choose 5 = 10 C 5 = 252
There are 252 ways to choose 5 books out of 10.
Tameka needs to pick 2 books from Nadeem’s list and 3 that are not on his list.
There are 10 ways for Tameka to choose 2 of the 5 books on Nadeem’s list. 5C2
From the remaining 5 books that aren’t on Nadeem’s list, there are 10 ways for her to choose 3 of those using 5C3.
10 x 10 so there are 100 possible combinations for the 2 books out of the total 252. 100/252 can be simplified to 25/63.
Q: Represent the number 1 using the numbers 2, 3, 4, 5, 6, 7, 8 and 9 one time each.
A: 1 to the 23,456,789 power = 1!
Also 1 + (2 – 3) – (4 – 5) + (6 – 7) – (8 – 9) =
1 + -1 -(-1) + -1 -(-1)
1 – 1 + 1 – 1 + 1