A boy puts his hand into a bag which contains 10 differently coloured marbles and brings out 3. How many different results are possible? Solution : 3 marbles can be choosen from 10 marbles in, C(10, 3) = 10 ! 7 ! .3 ! = 10 ∗ 9 ∗ 8 3 ∗ 2 ∗ 1 = 120 ways. Find the number of ways in which a student can select 5 courses out of 8 courses. If 3 courses are compulsory, in how many ways can the selections be made? Solution : The student can be select 5 courses out of 8 courses in, C(8, 5) = 8 ...
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