Which of the following points is a solution of the inequality y < -|x|?
1 answer:
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Caleb is participating in a walk-a-thon. His goal is to walk as far as possible over an 8-hour period.
For the first 3 hours, he keeps a steady pace of 2 miles per hour.
He then stops walking while he takes a 1-hour break for lunch.
It's too short. Write at least 20 characters to explain it well.
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible =
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible =
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible =
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83