COMBINATIONS AND PERMUTATIONS Consider a group of n distinct individuals or objects. An ordered subset of the group is called a permutation-we like to call such an ordered subset a list or k-tuple. The number of permutations of size k that can be formed from a distinct objects is denoted by Pk.n- Pk.n n! (n- 4)! 1. Consider the following waterfalls on Oʻahu: Manoa Falls (M), Aihualama Falls (A), Maunawili Falls (W), Likelike Falls (L), Lulumahu (U). a. How many ways are there to go on a hike to three different waterfalls during a three-day weekend (i.e. one waterfall on each day)? K-3. Pkin 51 3.21 5 (5-3) 21 60 b. Both Manoa Falls and Aihualama Falls are in Manoa. If each three-day wa- terfall itinerary is equally likely, then what is the probability of hiking to a waterfall in Manoa at least once during the three-day weekend? P(A)=2 P(A) = N=2 N=5 07/10 COMPLEMENT

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