In a dance class there are 24 students, of whom 14 are women and 10 are men. Sup
ID: 3272417 • Letter: I
Question
In a dance class there are 24 students, of whom 14 are women and 10 are men. Suppose 8 women and 8 men are randomly selected from the group and couples are formed with them (each pair consists of a woman and a man), only that in the initial group of 24 students there is a woman W* and a man M* who are not willing to form a couple. How many couples can be formed? In a dance class there are 24 students, of whom 14 are women and 10 are men. Suppose 8 women and 8 men are randomly selected from the group and couples are formed with them (each pair consists of a woman and a man), only that in the initial group of 24 students there is a woman W* and a man M* who are not willing to form a couple. How many couples can be formed? In a dance class there are 24 students, of whom 14 are women and 10 are men. Suppose 8 women and 8 men are randomly selected from the group and couples are formed with them (each pair consists of a woman and a man), only that in the initial group of 24 students there is a woman W* and a man M* who are not willing to form a couple. How many couples can be formed?Explanation / Answer
toatl combinations
number of womens who are willing to form a couple =14-1=13
number of men who are willing to form a couple =10-1=9
selection of 8 women from 13 women = 13c8=1287
selection of 8 men from 9 men= 9c3=84
number of couples =13c8*9c3
=1287*84
=108108