In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?
a.
Combination; Subscript 23 Baseline C Subscript 3 Baseline = 1771
b.
Permutation; Subscript 23 Baseline P Subscript 3 Baseline = 10626
c.
Permutation; Subscript 26 Baseline P Subscript 3 Baseline = 15600
d.
Combination; Subscript 26 Baseline C Subscript 3 Baseline = 2600

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.