Combinations (Counting the Subsets) a) How many different teams of five students can be chosen from...

Question

Question

Combinations (Counting the Subsets)

a) How many different teams of five students can be chosen from the 32 students in a class?

b)How many of the possible teams would include the youngest student in this class?

c)How many of the possible teams would not include the youngest student in this class?

math Statistics-And-Probability

Answer 1

Answer #1

(a) No of different teams that can be chosen from 32 players = ₃₂C₅ = 201376 ways

(b) If the youngest student was included, remaining 4 students can be selected from 31 students in ₃₁C₄ ways

(c) Youngest student will not get included in 201376 - 31465 = 169911 ways

Answer 2

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