15. A legislative committee consists of 9 Democrats and 6 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below.
(a) How many different delegations are possible?
The 4 delegates can be selected
different ways.
(b) How many delegations would have all Democrats?
The 4 delegates can be selected
different ways if all 4 are Democrats.
(c) How many delegations would have 3 Democrats and 1 Republican?
The delegates can be selected
different ways if 3 are Democrats and 1 is a Republican.
(d) How many delegations would include at least 1 Republican?
The 4 delegates can be selected
different ways if at least 1 is a republican

a) 1365 different ways.

b) 126 different ways.

c) 504 different ways.

d) 1239 different ways.

Step-by-step explanation:

The order in which the delegates are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

(a) How many different delegations are possible?

4 delegates from a set of 15. So

1365 different ways.

(b) How many delegations would have all Democrats?

4 delegates from a set of 9. So

126 different ways.

(c) How many delegations would have 3 Democrats and 1 Republican?

3 from a set of 9 and 1 from a set of 6. So

504 different ways.

(d) How many delegations would include at least 1 Republican?

Subtract the number of delegations with only democrats(126) from the total(1365). So

1365 - 126 = 1239

1239 different ways.

answer: yes, he is correct

step-by-step explanation: 10x-1=59

                                              1-1=0     59+1=60

60/10=x=6

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent