How many ways are there to select 5 cards from the following deck of 50 cards such that none of them share the same letter? A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 BO B1 B2 B3 B4 B5 B6 B7 B8 B9 CO C1 C2 C3 C4 C5 C6 C7 C8 C9 DO D1 D2 D3 D4 D5 D6 D7 D8 D9 EO E1 E2 E3 E4 E5 E6 E7 E8 E9 OP(10, 5) x 55 OC(10, 5) × 55 OP(10, 5) × 5! OC(10, 5) · P(10, 5) . 105 OC(10, 5) × 5!
How many ways are there to select 5 cards from the following deck of 50 cards such that none of them share the same letter? A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 BO B1 B2 B3 B4 B5 B6 B7 B8 B9 CO C1 C2 C3 C4 C5 C6 C7 C8 C9 DO D1 D2 D3 D4 D5 D6 D7 D8 D9 EO E1 E2 E3 E4 E5 E6 E7 E8 E9 OP(10, 5) x 55 OC(10, 5) × 55 OP(10, 5) × 5! OC(10, 5) · P(10, 5) . 105 OC(10, 5) × 5!
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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