### CFA Practice Question

There are 985 practice questions for this topic.

### CFA Practice Question

A network executive has to decide on the programming line-up for Thursday night. If there are ten shows to choose from, how many six-show line-ups are possible?

A. 60
B. 1,000,000
C. 151,200

10P6 = 10!/(10 - 6)! = 151,200

User Comment
dipta The question is not clear on whether ordering the shows matter
kunam the word line-up is the key
kunam yeah...Unclear... if the order is important then it needs to be 10C6 instead of 10P6...
kunam Oops.. 10 P 6 is correct given the word "line-up". Here order is important. so this is a permutation..
KD101 This is a tricky question if you are from non-english speaking countries. The word line-up is a hint
roninacolyte survivor....apprentice...fear factorial...
rfvo Come on people!! use your calculators thats what their meant for...here i'll make it easy for you

BA II

10 2nd nPr 6 =151 200

Simple...and order matter in this case.
viannie Line-up so permutations.
1st line-up: 10 shows to choose from
2nd line-up: 9 shows to choose from (since 1 already selected and can't be selected more than once)
3rd line-up: 8 shows etc ...
panvino Thanks rfvo - and just saw there is also the function for combination formula - nPr is 2nd + sign, nCr is 2nd - sign.
Kennyk11 Just to be logical, you wouldn't want to air the same program in a row, which makes the orders matter, hence the use of nPr instead of nCr.

Well, that is, unless a program is super popular, in which case, keep showing it! :p
ashish100 Thanks rfvo!!