There are eight runners in the 100-meter dash. In how many ways can the runners finish in first, second, and third place?
2 answers:
Answer: 336
Step-by-step explanation:
Given : The total number of runners = 8
The number of positions = 3
Since for awarding prize, the order of winners matters.
So by permutations ,the number of possible ways to award 3 prizes will be
Therefore , the total number of ways by which runners finish in first, second, and third place is 336.
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Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.
