ravenconner85
28.07.2019 •
Mathematics
Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable by 6 or 4
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Ответ:
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Ответ:
Number of Small Cones Sold=22
Number of Large Cones Sold=34
Step-by-step explanation:
Suppose,
Number of Small Cones Sold: s
Number of Large Cones Sold: l
For the condition that, larges cones sold were 12 more than small ones, equation would be
and for the total revenue condition of $163
By solving equation (i) and (ii) simultaneously, we get
s=22
and
l=34
Hence, small cones sold would be 22 and large cones sold would be 34.