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In how many ways can a boy invite his 5 friends to a party so that at least three join the party? - Mathematics and Statistics

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प्रश्न

In how many ways can a boy invite his 5 friends to a party so that at least three join the party?

योग

उत्तर

The number of ways of inviting at least three friends from 5 friends

= `""^5"C"_3 + ""^5"C"_4 + ""^5"C"_5`

= `(5!)/((5 - 3)!3!) + (5!)/((5 - 4)!4!) + 1`

= `(5 xx 4)/(2xx 1) + 5  + 1`

= 10 + 5 + 1
= 16

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Properties of Combinations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Permutations and Combinations - Exercise 6.7 [पृष्ठ ९०]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.7 | Q 10 | पृष्ठ ९०

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