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Combination

A team of 10 ...

Question

A team of 10 is to be formed from 4 girls and 11 boys. How many ways this can be done by taking at most 3 girls in the team?

A

1435

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B

2541

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C

2381

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D

3031

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E

2600

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Solution

The correct option is B 2541
Case 1- No girls

Possible selections = ¹¹C₁₀=11

Case 2- One girl

Possible selections= 4 x ¹¹C₉=220

Case 3- Two girls

Possible selections = ⁴C₂ x ¹¹C₈=990

Case 4- Three girls

Possible selections = ⁴C₃ x ¹¹C₇= 1320

Total= 2541

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