How many ways are there to select 3 cards from the following deck of 50 cards such none of them share the same letter and none of them share the same digit? (An example would be (B5, C9, E2]) 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

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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How many ways are there to select 3 cards from the following deck of 50 cards such
none of them share the same letter and none of them share the same digit? (An
example would be (B5, C9, E2])
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
C(10, 5) x 3!
P(10, 3) x P(5, 3)
C(10, 3) x 5!
C(5, 3) x P(10, 3)
C(10, 3) x C(5, 3)
Transcribed Image Text:How many ways are there to select 3 cards from the following deck of 50 cards such none of them share the same letter and none of them share the same digit? (An example would be (B5, C9, E2]) 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 C(10, 5) x 3! P(10, 3) x P(5, 3) C(10, 3) x 5! C(5, 3) x P(10, 3) C(10, 3) x C(5, 3)
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