How many different combinations of a 4-member debating team can be formed from a group of 10 qualified students?

Question

Mathematics

Maliyah Benson

5 March, 13:34

How many different combinations of a 4-member debating team can be formed from a group of 10 qualified students?

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Valentino Fitzpatrick · Answer 1

We have a group of ten and we want to choose a group of four. Note that the order doesn't matter. To solve this question, we need to calculate 10C4. Note that 10C4 means "10 choose 4" 10C4 = (10!) / (4! 6!) 10C4 = 10*9*8*7 / 4*3*2 10C4 = 10*9*7 / 3 10C4 = 10*3*7 10C4 = 210 There are 210 different combinations of a 4-member debating team from a group of 10 qualified students.