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A question on permutation and combination?
Eight cards are selected with replacement from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards.
(a) How many different sequences of eight cards are possible?
(b) How many of the sequences in part (a) will contain three picture cards, three odd-numbered cards and two even-numbered cards?
I would really appreciate if you can add an explaination or two as to how you arrive to your solutions to the two sub-questions. Thanks!! :)
1 Answer
- M3Lv 79 years agoFavorite Answer
i take it that the ranks of the cards is immaterial,
qa
each of 8 cards can be from any of 3 categories, so
# of sequences = 3^8 = 6561 <-------
qc
using permutations where some objects are repeated
8!/3!3!2! = 560 <--------
