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Ex 6.4, 9 In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student? Hence, the student has to select 3 courses out of remaining 7 courses Here, n = 7 & r = 3 No of ways selecting 3 course out of 7 course = nCr = 7C3 = 7!/(3!(7 3)!) = 7!/(3!(7 3)!) = 7!/3!4! = (7 6 5 4!)/(3 2 1 4!) = (7 6 5 )/(3 2 1) = 35 ways

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.