Answer:
1250 different committees can be formed
Step-by-step explanation:
We are told that the club has 5 men and 6 women.
Now we want to choose number of men between 1 and 3 with both inclusive and number of women between 2 and 4 with both inclusive.
We'll use the combination formula;
C(n, r) = n! / [r! (n - r)!]
Where, n = population and r = picks
Thus, we'll multiply the results of the women and men together. And so we have:this gives us ;
(5C1 + 5C2 + 5C3) * (6C2 + 6C3 + 6C4) = (5 + 10 + 10) * (15 + 20 + 15) = 25 * 50 = 1250 ways
Answer:
The number of lines for each angle tell you which angles are congruent.
The angle with one line in one triangle is the same as the angle with one line in the other triangle.
(a)
∠A ≅ ∠X
∠B ≅ ∠Z
∠C ≅ ∠Y
The dashes of the side lengths tell you which side lengths are congruent.
The line with one dash in one triangle is the same as the line with one dash in the other triangle.
(b)
AB ≅ XZ
AC ≅ XY
BC ≅ ZY
(c)
ΔBCA ≅ ΔZYX
Answer:
n=8
Step-by-step explanation:
1/2 (n + 4) = 6
n+4=12
n=8
Answer:
Both statements are false.
Step-by-step explanation:
She will need exactly 11 weeks.
100+2w
320
w11
