Discrete Math Counting Question How many ways are there to

Discrete Math: Counting Question -> How many ways are there to distribute five objects into six boxes if (part d please and part b)

Solution

B) Objects are labeled but boxes are unlabeled which 1st labeled object can be placed in any box in 6 ways

2nd ball in 5 ways

Going on...

Number of ways is 6*5*4*3*2=720

D) consider labels on both Objects and boxes are same and same labeled object should be placed in same labeled box

Which can be done in only 1 way