From a standard 52-card deck of playing cards, how many 5-card hands.pdf

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From a standard 52-card deck of playing cards, how many 5-card hands have 2 clubs and 3 hearts? Solution Total no. of clubs=13 and no. of clubs required = 2 So, combination for club=13C2 Total no. of hearts=13 and no. of clubs required = 3 So, combination for club=13C3 So,OVerall combination = 13C2 * 13C3 =(13*12/2) *(13*12*11/6) = 22308.

From a standard 52-card deck of playing cards, how many 5-card hands have 2 clubs and 3
hearts?
Solution
Total no. of clubs=13
and no. of clubs required = 2
So, combination for club=13C2
Total no. of hearts=13
and no. of clubs required = 3
So, combination for club=13C3
So,OVerall combination = 13C2 * 13C3
=(13*12/2) *(13*12*11/6)
= 22308

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