How many ways can a committee of nine be formed from 10 men and their wives, if no husband serves on it with his wife?

5120

Step-by-step explanation:

divide the entire group into 10 groups where each group has a man and his wife.

number of ways of selecting 9 groups is 10C9 which equals 10 ways

the number of ways selecting 1 person from a group is 2C1 =2 .

So that means the number of ways of selecting 1 person from 9 groups is 2^9=512

number of ways to form the committee is 10*2^9=5120

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1