GCEFurther MathematicsPermutations and Combinations2024

A committee of 5 people is to be chosen from 6 men and 4 women. (a) In how many ways can the committee be selected if there are no restrictions? [3 marks] (b) In how many ways can the committee be selected if it must contain at least 2 women? [7 marks] (c) Two of the men are brothers and cannot both serve on the committee at the same time. Given that there are no restrictions on the number of women, find the number of ways the committee can be formed under this condition. [5 marks]

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