Ten students are to be selected for a project from a cladd of 30. There are 4 students who want it be together either in the project or not in the project. Find the number of possible selections
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Answer:
30-10=20 or 20-4=16 I hope these will help you
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Total no of students = 30
If 4 students who wants to be in group are included for selection
Number of possible solutions = 4c1 × 26 c 6
4 × 26 × 25 × 24 × 23 × 22 × 2 × 7 / 6 × 5 × 4 × 3 × 2 × 1
= 13 × 5 × 4 × 23 × 22 × 7
If the 4 students, who wants to be selected as group are not included for selection
● Number of possible solutions = 26c10
= 26 × 25 × 24 × 23 × 22 × 21 × 20 × 19 × 18 × 17 / 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5311735
Total = 920920 + 5311735
= 62, 32, 655.
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