Question

Q.
Determine the number of 5-Cards combinations out of a deck of 52 cards if each selection of 5
Cards has -
i) exactly one king ii) no king
iii) at least two kings
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Answer 1

Answer:

1)1. 2)0. 3)2

Step-by-step explanation:

Total kings are 4

Answer 2

From the question we have understand we have to select 5 places for exactly 1king first we have to select one king from 4 in 4 c1 ways remaining 4 places are selected from 48 car ds I.e not including kings in 48c4 ways total ways=48c4×4c1

For no king select all 5 cards from 48 cards in 48c5 total ways =48c5 atleast 2 cards total ways =4c2×48c3+4c3×48c2+4c4×48c1