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Mathematics, 21.06.2019 22:00
1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25
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Mathematics, 22.06.2019 00:30
Given abc find the values of x and y. in your final answer, include all of your calculations.
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Mathematics, 22.06.2019 02:40
Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?
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