Answer: this is the answer to your question look at the picture
Step-by-step explanation:
Answer:
7 girls can go in the first place, 6 in the second, etc.
7! ways is the number of ways to arrange the girls.
likewise the boys can be arranged in 7! ways
The total number of ways becomes 7! * 7!
7! * 7! = 25,401 600 ways
Answer:
60
Step-by-step explanation:
180-120=60so the answer is a 60
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
18
Step-by-step explanation:
Factors of 54
1, 2, 3, 6, 9, 18, 27
Factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Factors of 18
1, 2, 3, 6, 9, 18.
Greatest Common Factor
We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 72, 54 and 18 is 18.
