Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women

Answer Details

To find the number of committees of three that can be formed consisting of two men and one woman from four men and three women, we can use the combination formula. The number of ways to choose 2 men from 4 men is given by the combination formula as 4C2 = (4!)/(2!2!) = 6. Similarly, the number of ways to choose 1 woman from 3 women is 3C1 = 3. Therefore, the total number of committees of three that can be formed consisting of two men and one woman is the product of these two combinations: 6 x 3 = 18 So, there are 18 committees of three that can be formed consisting of two men and one woman from four men and three women. Therefore, the answer is 18.