Counting Techniques and Introduction to Probability

MATH125: Unit 4 Individual Project Answer Form

Counting Techniques and Introduction to Probability

ALL questions below must be answered. Show ALL step-by-step calculations, round all your final answers correctly, and include the units of measurement. Submit this modified Answer Form in the Unit 4 IP Submissions area.

State Total Murders1 Total Firearms Handguns Rifles Shotguns Firearms (Type Unknown) Knives or Cutting Instruments Other Weapons Hands, Fists, Feet, and so on2
Alabama 3 3 1 0 1 1 0 0 0
Alaska 57 39 12 2 1 24 7 8 3
Arizona 278 171 128 4 3 36 42 55 10
Arkansas 164 110 51 10 4 45 18 30 6
California 1,861 1,275 855 34 33 353 263 233 90
Colorado 176 115 65 12 6 32 25 19 17
Connecticut 107 73 29 0 2 42 16 9 9
Delaware 63 52 26 0 0 26 6 3 2
District of Columbia 162 121 65 1 0 55 28 8 5
Georgia 565 464 394 16 10 44 38 60 3
Hawaii 19 4 1 1 0 2 6 2 7
Idaho 30 24 17 4 0 3 3 3 0
Illinois 497 440 431 2 1 6 29 25 3
Indiana 272 209 147 9 5 48 22 29 12
Iowa 72 49 31 0 2 16 10 5 8
Kansas 125 91 51 4 4 32 9 14 11
Kentucky 209 141 91 1 9 40 30 26 12
Louisiana 474 379 207 7 9 156 46 43 6
Maine 23 16 15 0 0 1 3 1 3
Maryland 372 279 266 3 3 7 44 33 16
Massachusetts 126 81 33 1 0 47 27 11 7
Michigan 571 389 148 10 10 221 52 103 27
Minnesota 133 79 47 6 9 17 21 23 10
Mississippi 159 126 102 3 5 16 11 14 8
Missouri 499 418 233 12 11 162 26 40 15
Montana 36 18 13 0 0 5 8 3 7
Nebraska 61 43 41 1 1 0 9 8 1
Nevada 177 113 17 1 1 94 25 30 9
New Hampshire 14 8 4 0 0 4 6 0 0
New Jersey 353 255 200 3 0 52 38 41 19
New Mexico 94 56 14 1 2 39 18 19 1
New York 611 383 331 1 5 46 104 104 20
North Carolina 506 353 235 10 21 87 41 77 35
North Dakota 17 9 5 0 0 4 3 1 4
Ohio 480 316 184 12 7 113 39 103 22
Oklahoma 233 149 113 8 9 19 33 32 19
Oregon 71 34 17 1 5 11 12 22 3
Pennsylvania 651 497 386 10 11 90 65 67 22
Rhode Island 27 10 3 0 1 6 10 6 1
South Carolina 394 312 201 7 10 94 34 34 14
South Dakota 27 12 5 1 5 1 8 2 5
Tennessee 402 297 204 13 7 73 40 51 14
Texas 1,276 906 610 19 36 241 146 135 89
Utah 54 34 26 2 0 6 5 6 9
Vermont 10 8 2 4 0 2 0 1 1
Virginia 383 275 148 6 7 114 51 43 14
Washington 209 141 84 3 5 49 18 36 14
West Virginia 57 30 19 1 1 9 6 17 4
Wisconsin 238 170 122 5 4 39 37 25 6
Wyoming 16 10 4 0 3 3 2 3 1
Guam 6 3 1 0 0 2 1 2 0
U.S. Virgin Islands 35 26 12 1 0 13 3 6 0
(FBI, 2015)

1 Total number of murders for which supplemental homicide data were received.

2 Pushed is included in hands, fists, feet, etc.

3 Limited supplemental homicide data were received.

1. In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states matters? Round off your answer to the nearest whole number.

In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states does not matter? Round your answer to the nearest whole number.