7. (5 points each) (No explanation necessary for your answer!) (a) What is the probability that an integer between 1 and 10,000 has exactly three 5's and one 3? (b) How many ways are there to distribute 50 identical jelly beans among six children if each child must get at least one jelly bean? (C) How many ways are there to distribute 21 different toys among six children (Alex, Ella, Jacqueline, Kelly, Rob, Stephen), if two children gets 6 toys, three children get 2 toys and one child get 3 toys? (d) How many "words” can be formed by rearranging INQUIRING (3 I's, 2 N's, 1 Q, 1 U, 1 R, 1G) so that U does not immediately follow Q? (e) If a person owns 6 mutual funds (each with at least one stock), where (i) these mutual funds together have a total of 61 stocks and (ii) the largest fund is Zillow, what is (A) the smallest number of stocks in Zillow and (B) the largest number of stocks in Zillow? n 8. (6 points) Evaluate the sum Ž(-1)+ (%*7-* (where n is a positive integer). k=2
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please answer all parts ASAP 🙏
please answer all parts ASAP 
7. (5 points each) (No explanation necessary for your answer!) (a) What is the probability that an integer between 1 and 10,000 has exactly three 5's and one 3? (b) How many ways are there to distribute 50 identical jelly beans among six children if each child must get at least one jelly bean? (C) How many ways are there to distribute 21 different toys among six children (Alex, Ella, Jacqueline, Kelly, Rob, Stephen), if two children gets 6 toys, three children get 2 toys and one child get 3 toys? (d) How many "words” can be formed by rearranging INQUIRING (3 I's, 2 N's, 1 Q, 1 U, 1 R, 1G) so that U does not immediately follow Q? (e) If a person owns 6 mutual funds (each with at least one stock), where (i) these mutual funds together have a total of 61 stocks and (ii) the largest fund is Zillow, what is (A) the smallest number of stocks in Zillow and (B) the largest number of stocks in Zillow? n 8. (6 points) Evaluate the sum Ž(-1)+ (%*7-* (where n is a positive integer). k=2
7. (5 points each) (No explanation necessary for your answer!) (a) What is the probability that an integer between 1 and 10,000 has exactly three 5's and one 3? (b) How many ways are there to distribute 50 identical jelly beans among six children if each child must get at least one jelly bean? (C) How many ways are there to distribute 21 different toys among six children (Alex, Ella, Jacqueline, Kelly, Rob, Stephen), if two children gets 6 toys, three children get 2 toys and one child get 3 toys? (d) How many "words” can be formed by rearranging INQUIRING (3 I's, 2 N's, 1 Q, 1 U, 1 R, 1G) so that U does not immediately follow Q? (e) If a person owns 6 mutual funds (each with at least one stock), where (i) these mutual funds together have a total of 61 stocks and (ii) the largest fund is Zillow, what is (A) the smallest number of stocks in Zillow and (B) the largest number of stocks in Zillow? n 8. (6 points) Evaluate the sum Ž(-1)+ (%*7-* (where n is a positive integer). k=2