charles has to select two subjects from four subjects in a course. in how many ways can he choose the 2 subjects?

Western college conducted a survey about student′s favorite sports. Favorite Sports Subject Number of Students Only Football 14 Football and Swimming 16 Swimming and Baseball 20 Which graph best represents the data? => Graph 2 or Graph 3 or Graph 1 or Graph 4..

Find the number of ways of choosing 12 cards that contain exactly 8 red cards and 4 black cards from a 52 card deck. => 2 6 C 1 2 or 5 2 C 1 2 or 2 6 C 8 × 2 6 C 4 or 1 2 C 8 × ..

There are 17 yellow balls, 17 green balls, and 17 purple balls in a bag. Choose the fraction that expresses the probability of selecting a yellow ball from the bag. => 3 / 4 or 2 / 3 or 1 / 4 or 1 / 3..

Find the point at which the maximum value of the objective function P = 3 x + 4 y subject to the constraints x ≥ 0, y ≥ 0 and 3 x + y ≤ 6 occurs. => (1, 6) or (0, 6) or (0, 0) or (0, 2)..

What are the values of x and y that minimize the objective function D = 3 x + 2 y subject to the constraints x ≥ 0, y ≥ 0, x ≤ 2 y + 1 and y ≤ 4 - x ? => 0, 1 or 0, 4 or 1, 0 or 0, 0..

What is the minimum value of D = 5 x + 4 y subject to the constraints x ≥ 0, y ≥ 0, x + 2 y ≤ 4 and x + y ≤ 3? => -2 or -1 or 0 or -3..

What is the minimum value of D = 7 x + 5 y subject to the constraints x ≥ 0, y ≥ 0, x + 2 y ≤ 4 and x + y ≤ 3? => - 3 or 0 or - 1 or - 2..

Question: A committee of 6 is chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. In how many different ways can this be done, if two particular women refuse to serve on the same committee? Answer: Let the two la..

A decorative item dealer deals in only two items - wall hangings and artificial plants. He has 15,000 dollars to invest and a space to store all the most 80 pieces. A wall hanging costs him 300 dollars and an artificial plant 300 dollars. He can sell a wall hanging at a profit of 50 doll..

Question: Circle the subject and connect it with the verb, which follows it. 1. The machinery which the factory had,has been sold 2. The girl who comes first in class is the captain of the school 3. A visit to the museum provides much knowledge to the students ..