iz Instructions Question 3 How many ways are there to select 11 students from a 30-member...

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iz Instructions Question 3 How many ways are there to select 11 students from a 30-member debate team to represent a school? 7 Paragraph 301/(30-11)l

Answer 1

Answer #1

11 members are selected from 30 students by ³⁰C₁₁ ways.

In general,

ⁿC_r = n! / [ ( n-r)! * r! ] , Where n! = n * ( n-1) * (n-2) * ... * 3 * 2 * 1

Therefore,

³⁰C₁₁ = 30! / [ (30-11)! * 11! ]

= 30! / [ 19! * 11! ]

= 54627300 ways

Answer 2

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