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Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?

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प्रश्न

Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?

योग
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उत्तर

Number of students = 11
Number of students to be selected = 5
Here, 2 specified students are not included.
So, we need to select 5 students from the remaining 9 students.
This can be done in:
= `""^9"C"_5`

= `(9 xx 8 xx 7 xx 6)/(4 xx 3 xx 2 xx 1)`

= 126 ways
Thus, 126 selections can be made such that 2 specified students are not included.

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अध्याय 6: Permutations and Combinations - Exercise 6.7 [पृष्ठ ९०]

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बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.7 | Q 15. (b) | पृष्ठ ९०

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