three baskets contain 8, 8 and 11 soaps. can the soaps be rearranged so that there is an equal whole number of soaps in each bas
1 answer:
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We have to use Powerset .All of the elements are subsets of the set.
- If n(A)=n
#1
- {a,b,c}
- It has 2^3=8subsets
Now
P(A)={{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}}
#2
- {2,4,6,8}
- It has 2^4=16 subsets
Now
P(A)={{2},{4},{6},{8},{2,4},{2,8},{2,8},{4,8},{4,6},{6,8},{2,4,6},{2,4,8},{2,6,8},{4,6,8},{2,4,6,8}}
#3
It has 2^5=32 subsets
Now
P(A)={{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5}...{1,2,3,4,5}}
Answer:
12 + 29x - 14
Step-by-step explanation:
(3x+2)(4x-7)
Multiply out 3x first then 2
(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)
12 - (- 21x) + 8x + ( -14)
12 + 21x + 8x - 14 Combine like terms
12 + 29x - 14