Answer:
Event A. P(A) = 1/28
Event B. P(B) = 1/56
Step-by-step explanation:
Event A. We have 3! ways of arranging the juggler, acrobat and pianist and ⁶P₁ ways of arranging the rest of the performers. We ave ⁹P₁ ways of arranging all the performers.
So, P(A) = 3!⁶P₁/⁹P₁ = 3!6!/9! = 3!6!/(9 × 8 × 7 × 6!) = 6/(3 × 8 × 7) = 1/28
Event B. We have ³C₁ ways of combining the violinist, acrobat and comedian in any order and ⁶P₁ ways of arranging the rest of the performers. We ave ⁹P₁ ways of arranging all the performers.
So, P(B) = ³C₁ × ⁶P₁/⁹P₁ = 3!6!/9! = 3 × 6!/(9 × 8 × 7 × 6!) = 3/(3 × 8 × 7) = 1/56
Answer:
7
Step-by-step explanation:
To find the missing value for the ratio, find number that multiply 8 to 56.
8*7 = 56.
So the numerator is 1 * 7 = 7.
You will have to use a ruler for this on the chart