Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 3.) Five cards are marked with the numbers 1, 2, 3, 4, 5, then shuffled, and 2 cards are drawn. (a) How many different 2-card combinations are possible? (b) How many 2-card hands contain a number less than 3?

Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 3.) Five cards are marked with the numbers 1, 2, 3, 4, 5, then shuffled, and 2 cards are drawn. (a) How many different 2-card combinations are possible? (b) How many 2-card hands contain a number less than 3?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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PROVIDE A STEP-BY-STEP SOLUTION FOR THE FOLLOWING QUESTION CLEARLY.
Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?