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Ex 7.4, 6 - Determine number of 5 card combinations if exactly one ace

Ex 7.4, 6 - Chapter 7 Class 11 Permutations and Combinations - Part 2

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Ex 6.4, 6 Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination. There are total 4 Ace Cards out of 52 We have to select one ace from 4 ace Total number of ways = 4C1 × 48C4 = 4!/(1!(4 −1)!) × 48!/(4!(48 −4)!) = 4!/1!3! × 48!/4!44! = 48!/(3! × 44!) = (48 × 47 × 46 × 45 × 44!)/((3 × 2 × 1) × 44!) = 778320

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.