Answer to Question #100173 in Discrete Mathematics for Subhasis Padhy

Question

Find the total number of ways in which 10 different cakes can be divided into two parcels each containing the same number ?

Answer 1

2 parcels each containing same number of cakes, then each partition must contain 5 cakes each.

10 different cakes we choose 5 for a parcel, then the remaining 5 go into the other parcel.

Total number of ways $= C(10,5)= 252$