Five cards are drawn from a pack a q
52 cards in how many ways can we select
to one suit and 2 cards belong to another
suit.
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Here n= Total no. of ways m=
52
C
4=
1×2×3×4
52×51×50×49
=13×17×25×49=270725.
There are four honours (ace,king,queen and knave)in each suit and so there are 4 sets of 4 honours each.
To obtain the favourable number of ways, we have to select one suit of four honours from these four sets.
∴m=
4
C
1=4
∴p=required probability =
n
m =
270725
4
Comparing with
541450
k
we get the value of k=8
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