This is for data management please answer clearly and according to blank #

Question 3 (6 points) 1. A bag of Lego contains 10 red pieces and 5 blue pieces, If you reach into the bag and pull out 3 pieces. "'ALL OF THE PIECES ARE DIFFERENT FROM EACH OTHER** a. How many ways have all red pieces? b. How many ways contain only 1 red piece? c. How many way contain at least 2 or more red pieces? Blank # 1 Blank # 2 Blank # 3 Question 4 (2 points) How many ways can you rearrange the letters of the word: MATHEMATICS Question 5 (4 points) A friend brings around a basket of fruit as a gift to your family, Inside the basket are 4 oranges, 3 apples, 5 pears and 3 bananas. How many ways can you.! consider all fruit of appropriate types to be the same a. Take 'some' fruit out of the basket? (some = at least one) b. Take at least one piece of each piece of fruit out of the basket? Blank # 1 Blank # 2 Question 6 (4 points) Determine the equivalent of the following using Pascal's Theorem (write as a combination) Blank # 1 Blank # 2 Question 7 (2 points)