Answer to Question #176136 in Statistics and Probability for stiff

Question

1.  A math club has 25 boys and 15 girls. Which expression represents the total number of different 5-member teams, consisting of 4 boys and 1 girl, which can be formed? (Note: When we have different groups that need to be formed within the larger group, we multiply together the two probabilities. Figure out the boys first, then the girls, and then multiply your two separate answers for your total answer.)

Answer 1

Solution:

Number of boys = 25

Number of girls = 15

Total of them = 40

A team of 5 members to be made consisting of 4 boys and 1 girl.

Number of such possible teams$=^{25}C_4\times ^{15}C_1$

This is required expression$=^{25}C_4\times ^{15}C_1$