Prove Theorem 4 by first setting up a one-to-one correspondence between permutations of n objects with ni indistinguishable objects of type i, i = 1, 2, 3,…, k, and the distributions of n objects in k boxes such that ni objects are placed in box i, i = 1, 2, 3,…, k and then applying Theorem 3.

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

If you have the following equation, 2/3x+5/6-x=2-3/4x what would you multiply each term by to get rid of all the fractions

Some boys and girls were asked if they had a pet. one third of the group were boys. there were 20 boys. 20% of the girls had a pet. boys with a pet : girls with a pet = 1 : 5 i need to know how many girls there are.