Question

In: Advanced Math

We are playing with a 52-card standard deck (four ”suits” ♥, ♠, ♦, ♣, with ”faces”...

We are playing with a 52-card standard deck (four ”suits” ♥, ♠, ♦, ♣, with ”faces” A, 2, 3,...,10, J, Q, K). In how many ways can we choose a 5-card hand, such that

(a) four cards have same face?

(b) all five cards of same suit?

(c) the five cards have consecutive faces (where A can be either the lowest or the highest face)?

(d) the five cards form a ”straight flush” (all five cards of same suit, and have consecutive faces)?

(e) the five cards form a ”flush” (all five cards of same suit, but do not form a ”straight flush”)?

(f) the five cards form a ”full house” (three cards have same face, and the other two have same face)?

Solutions

Expert Solution

Colby Messinger answered 5 months ago
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