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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? - Mathematics and Statistics

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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?

बेरीज

उत्तर

Number of students is 11. We have to select 5 students

2 particular students are not selected:

If 2 particular students are not selected, then from remaining (11 – 2) = 9 students, we have to select 5 students.

This can be done in 9C5 ways.

∴ total number of selections

 = 9C

= `9/(5!4!)`

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

= 126.

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Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.6 [पृष्ठ ६६]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.6 | Q 26. (b) | पृष्ठ ६६

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