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
<u>Answer:</u>
60 out of 250 children will prefer organized sports.
<u>Step-by-step explanation:</u>
We are given the results of a random survey of children between the ages of 13 and 18 about their favorite activity.
Based on these results, we are to find the number of children who will prefer organized sports if 250 children were asked about their favorite activity.
Children who will prefer organized sports = 
= 60
Answer:
∠ O = 72°
Step-by-step explanation:
the inscribed angle R is half the measure of its intercepted arc NQ , then
arc NQ = 2 × 36° = 72°
the central angle O is equal to the measure of the arc that subtends it , so
∠ O = arc NQ = 72°
Answer:
Union
Step-by-step explanation:
None of the terms in each inequality intersect.
so its not intersection
Its two inequalities put together so its union
