Brain Teasers
Are You Ready For Some Football?
Swaff finished up watching a game of American Football when his older brother Abjar walked in. Abjar asked what the score was:
Swaff replied: "It was 20 to 0"
Abjar was excited, because his team had won in a shut-out. Being the curious dude that he was, Abjar asked Swaff how they amassed 20 points.
Swaff wanted to have some fun, and told Abjar to guess.
Abjar decided he must first list ALL the possibilities of scoring 20 points, then pick the one that seems the most reasonable.
How many different possibilities could Abjar come up with? (Assuming that anything at all can happen, within the rules of American Football)
Swaff replied: "It was 20 to 0"
Abjar was excited, because his team had won in a shut-out. Being the curious dude that he was, Abjar asked Swaff how they amassed 20 points.
Swaff wanted to have some fun, and told Abjar to guess.
Abjar decided he must first list ALL the possibilities of scoring 20 points, then pick the one that seems the most reasonable.
How many different possibilities could Abjar come up with? (Assuming that anything at all can happen, within the rules of American Football)
Hint
In American Football, you can score a few ways:6 points for a touchdown
-after a touchdown you have the option to go for 1 or 2 extra points.
3 points for a field goal
2 points for a safety
Answer
Abjar could come up with 24 different ways.The 24 Options for Scoring are:
Three touchdowns(18), one safety(2) =20
Three touchdowns(18), one 2 point extra point(2) =20
Three touchdowns(18), two 1 point extra points(2) =20
Two touchdowns(12), four safeties(8) =20
Two touchdowns(12), three safeties(6), one 2 point extra point(2) =20
Two touchdowns(12), three safeties(6), two 1 point extra points(2) =20
Two touchdowns(12), two safeties(4), two 2 point extra points(4) =20
Two touchdowns(12), one safety(2), two field goals(6) =20
Two touchdowns(12), one safety(2), one field goal(3), one 1 point extra point(1), one 2 point extra point(2) =20
Two touchdowns(12), two field goals(6) two 1 point extra points(2) =20
Two touchdowns(12), two field goals(6) one 2 point extra point(2) =20
Two touchdowns(12), two safeties(4), one field goal(3), one 1 point extra point(1) =20
One touchdown(6), seven safeties(14) =20
One touchdown(6), six safeties(12), one 2 point extra point(2) =20
One touchdown(6), five safeties(10), one field goal(3), one 1 point extra point(1) =20
One touchdown(6), four safeties(8), two field goals(6) =20
One touchdown(6), three safeties(6), one 2 point extra point(2), two field goals(6) =20
One touchdown(6), two safeties(4), one 1 point extra point(1), three field goals(9) =20
One touchdown(6), one safety(2), 4 field goals(12) =20
One touchdown(6), one 2 point extra point(2), 4 field goals(12) =20
Ten safeties =20
Seven safeties(14), two field goals(6) =20
Four safeties(8), four field goals(12) = 20
One safety(2), six field goals(18) =20
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