Question
From a pool of 9 science students and 5 commerce
students, a group of 8 students is to be selected. Find the number of ways to form the group such that at least 6 science students are included.Solution
Case I: 6 science and 2 commerce:
9C6 Ă— 5C2 = 84 Ă— 10 = 840
Case II: 7 science and 1 commerce:
9C7 Ă— 5C1 = 36 Ă— 5 = 180
Case III: 8 science and 0 commerce:
9C8 Ă— 5C0 = 9 Ă— 1 = 9
Total = 840 + 180 + 9 = 1029 ways
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