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pls explain carefully! 11. By the end of that reception on the ground floor of I

ID: 3197725 • Letter: P

Question

pls explain carefully!

11. By the end of that reception on the ground floor of IC, there are 7 cakes left: Angel Food, German Chocolate, Cherry Cheesecake, Fruitcake, Victoria Sponge, Battenberg, and Lemon Drizzle. The caterers want to get rid of these cakes, and so they start handing out cakes to whomever will take them. How many different ways are there for all 7 cakes to be given to you and your 3 friends in such a way that each of you gets at least one cake? (The order in which the cakes are handed out or received does not matter.) (A)4 (B) 3 / D) (E) none of (A-D) 4

Explanation / Answer


We know from the fact that n things can be given to r people (such that each gets atleast 1) in (n-1) C (r-1) ways

So, n = 7, n-1=6
r = 4 , r=1 = 3

Hence, {6 3}
Hence, A-D is the not the answer
E is correct