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

Transcript

Ex 7.4, 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