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9709 P62 - Mar 2016 - Q6
2842

Hannah chooses 5 singers from 15 applicants to appear in a concert. Of the 15 applicants, 10 are female and 5 are male. Hannah's friend Ami would like the group of 5 performers to include more males than females.

(iii) Find the number of different selections of 5 performers with more males than females.

(iv) Two of the applicants are Mr and Mrs Blake. Find the number of different selections that include Mr and Mrs Blake and also fulfil Ami’s requirement.

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