CAT 2021 Exam Question Papers Slot 1 | CAT Quants
CAT Quantitative Aptitude | CAT 2021 Question Papers
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:
The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
Out of 1, 2, 3, 4, 5, 6, 7 and 8, the groups always include 3 and 5. So, instead of choosing groups of three or more from the compete set,
choose group of distinct numbers of at least one out of 1, 2, 4, 6, 7, 8 = 26 - 1 = 63
Out of this, subtract ways of choosing from 1, 2, 4, 6 to form group in which 3, 5, 7, 8 are always there. Number of such groups = 24 = 16
So, required number of groups i.e., of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is = 63 – 16 = 47