• Welcome! The new FreeMathHelp.com forum is live. We've moved from VB4 to Xenforo 2.1 as our underlying software. Hopefully you find the upgrade to be a positive change. Please feel free to reach out as issues arise -- things will be a little different, and minor issues will no doubt crop up.

5 Students Selected Part Three (final part)

SadAtMath

New member
Joined
Jun 3, 2012
Messages
5
5 students selected from class of 42. How many selections possible if 5 are selected and each student gets an A. You can only receive one grade. I feel like this one, as its predecessors, is devilishly simple. Is this another case of 42 to the fifth, perhaps? I thank you immensely.
 

soroban

Elite Member
Joined
Jan 28, 2005
Messages
5,588
Hello, SadAtMath!

5 students selected from class of 42 and given an A.
How many selections are possible if you can only receive one grade.

I feel like this one, as its predecessors, is devilishly simple.
Is this another case of 42 to the fifth, perhaps? . . . . no

This time 5 students are selected from the class of 42,
. . but they all receive the same grade.
Their order is not considered.

This is a Combination problem.
The number of ways is: .\(\displaystyle _{42}C_5 \:=\:\dfrac{42!}{5!\,37!} \:=\:850,\!668 \)
 

SadAtMath

New member
Joined
Jun 3, 2012
Messages
5
Thank you!

Thanks so much. I am eternally grateful.
 
Top