Choose 3 items from 7 (n C styl 13 (Factonial) Find: 5 7 C Find: C b.Find 20, Fi

Question

Choose 3 items from 7 (n C styl 13 (Factonial) Find: 5 7 C Find: C b.Find 20, Find: Choose 14. Find:7 18. Find: C2 4 lottery nee mmberhase from 42 CDs available. 19. Find: 9C7 numb le numbe bers. to select 6 committee members from 16 available to choose 5 differeht CDs to purchase from 42 CD to select 4 lottery numbers from 26 available le people. 22 Find the number of ways 22. Find the number oT ways 23. Find the CDs av o 2 time is up) on a 20-question d 1 of 6 colors (b, w, r, g, y,o rve or white) & I type of che eans, either with or w/o salsa, e 5 24 Find the number of ways to choose 3 questi 25. Find the number of 26. Find the number of t-shirts possible number of ways to choose ons to skip (before time is up) ors (b,w.r,y) binders possible with l of 3 sizes (%", i", 2") and lap, on a 2 the number of t-shirts possible with size (S, M. L, XL) and 1 of 6 colors o and either with or without a front pocket. 27 Find the # ofsandwiches possible with l typeof bread (wheat, rye or w ef, turkey, chicken, bologna or (vellow, swiss, jack, or pepper) & I type of meat (ham, beef, turkey, h or wlo salsa, either 28. Find the number of ways to serve nachos: either with or w/o beans, either or w/o tomatoes with or w/o lettuce, either with or w/o jalapeños, and either with on a True-False 10-question exam. 29. Find the number of ways to answer every question on a True-False question exam 31. Find the number of ways for 3 flipped coins (penny, nickel, dime) to land Heads 32 Find the number ofways to rate 7 different web pa 0. Find the number of ways to answer all questions on a multiple-choice (ABC) 2 me) to land Heads Tails. S & ges a whole # of stars (1, 2, 3 or 4 stars each).

Explanation / Answer

21.

Here, order does not matter, so we choose combinations.

There are

26C4 = 26! / [22! 4!] = 14950 ways.

24.

There is only one order to skip, so order does not matter here.

There are 20C3 = 20!/[17!3!] = 1140 ways to skip three questions.

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