7 and 9 please 7) (2 pts) In a train yard there are 5 tank cars, 11 boxcars, and

Question

7 and 9 please

7) (2 pts) In a train yard there are 5 tank cars, 11 boxcars, and 6 flatcars. How many ways can a train be made up consisting of 3 tank cars, 4 boxcars, and 2 flatcars if their order makes no difference. 8) (1 pt) show the easy way to get answer: o0 00 9) (2 pts) Three cards with numbers 1,2, and 3 are placed in a box. (a) How man three-digit numbers can be made if the cards are drawn out one by one without replacement? (b) How many three-digit numbers can be made if the cards are drawn out one by one with replacement? 10) (3 pts) 10 professors and 8 students are available to serve on committee.

Explanation / Answer

Solution:-
7) 5C3*11C4*6C2 = 10*330*15 = 49500

9)

a) 3! = 3*2*1 = 6

b) 3^3 = 27

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