We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Answer:
P= 2
T=6
3) 252$
Step-by-step explanation:
1) set up your equation 3/8p=6/8 then divide 3/8 from both sides (remember when you divide fractions you would multiply by the reciprocal so 3/8 x 8/6. Also make sure you simplify)
2) Do the same here. 38/7 divided by 19/21
3) Turn the fraction into an improper fraction then multiply 126 by that amount (3/6)
7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.
The final answer is 7x+21~
