These are all different questions please do them.

1. Construct a tree diagram to illustrate the possible contents of a sandwich made from white or brown bread, ham, chicken, or beef, and mustard or mayonnaise. How many different sandwiches are possible?2. In how many ways can you roll either a sum of 4 or a sum of 11 with a pair of dice? 3. `. In how many ways can you draw a 6 or a face card from a deck of 52 playing cards? 4. Use tree diagrams to answer the following: a) How many different soccer uniforms are possible if there is a choice of two types of shirts, three types of shorts, and two types of socks? b) How many different three-scoop cones can be made from vanilla, chocolate, and strawberry ice cream?5'. Ten different books and four different pens are sitting on a table. One of each is selected. Should you use the rule of sum or the product rule to count the number of possible selections? Explain your reasoning. 6'. Communicalion In how many ways can a student answer a true-false test that has six questions. Explain your reasoning. The final score of a soccer game is 6 to 3. How many different scores were possible at half-time? When three-digit area codes were introduced in 1947, the first digit had to be a number from 2 to 9 and the middle digit had to be either 1 or 0. How many area codes were possible under this system?a) In how many ways could you choose two fives, one after the other, from a deck of cards? b) In how many ways could you choose a red five and a spade, one after the other? c) In how many ways could you choose a red five or a spade? d) In how many ways could you choose a red five or a heart? e) Explain which counting principles you could apply in parts a) to d).Ten students have been nominated for 3 students' council executive. Five of the nominees are from grade 12, three are from grade 11I and the other two are from grades 9 and 10. a) In how many ways could the nominees ll the positions of president and vice- president if all ten are eligible for these senior positions? b} How many ways are there to ll these positions if only grade 11 and grade 12 Students are eligible? \fI} How many ways can you arrange the letters in the word 'l'd'? b) How man}.r ways can Ismail arrange four different textbooks on the shelf in his locker? c) How man},r ways can Laura colour 4 adjacent regions on a map if she has a set of 12 coloured pencils? Seven children are to line up for a photograph. a) How many different arrangements are possible? In) How many arrangements are possible if Brenda is in the middle? c) How man};r arrangements are possible if Ahmed is on the far left and Yen is on the far right