Let\ U = \left\{ 1,​2, 3,​ ...,2400 ​\right\}Let S be the subset of the numbers in U that are multiples of 3​, and let T be the subset of U that are multiples of 7.Find​ n(T) using a method similar to the one that showed that n(S)=800.

Isa Trevino

Isa Trevino

Answered question

2021-08-01

Let U ={1,2,3,...,2400}
Let S be the subset of the numbers in U that are multiples of 3​, and let T be the subset of U that are multiples of 7.
Since 2400÷3=800​, it follows that n(S)=n({31,32,,3800})=800.
​(a) Find​ n(T) using a method similar to the one that showed that n(S)=800.
(b) Find n(ST).
(c) Label the number of elements in each region of a​ two-loop Venn diagram with the universe U and subsets S and T.
Questions:Find n(T) ? Find n(SnT)

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-08-02Added 102 answers

Step 1
Solution: n()=2400
={1,2,3,.....,2400}
2400÷3=800
n(s)=n{31,32,....3800}=800
n(t)=n(71,72,73,.,7342)=342
2394
Step 2
n(t)=342
st Multiple of 7 and 3=21
n(st)=n(211,212,..21114)=114
2394
n(st)=114

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