There are four questions related to this: how many number of
ways are there to award the prizes if:
a)
There are no restrictions? If k unalike awards
are there for n people and no person can get more than one
prize then there are: This leads to 100 × 99 × 98 × 97 = 94109400100 ×
99 × 98 × 97 = 94109400 ways in your case where n=100 k=4.
b)The person holding ticket 47 wins the grand
prize? After handing out the grand prize there are k=3 different rewards
left for n = 99 persons. Apply the same formula. Answer: 941094941094
c) The person holding ticket 47 wins one of the
prizes? 4 times case because there are 4 likelihoods when it
comes to the rewards that can be won by person 47. Answer: 37643763764376
d) The person holding ticket 47 does not win a prize? k=4 and n =99.
Person 4747 is left out. Answer: 9034502490345024
e) The person holding ticket 19 and 47 both wins prize? First gave out a
prize to 47. There are 4 possibilities. Then give out a prize
to 19. There are 3 likelihoods. Then the other prizes are gave
out: k=2 and n=98. Lastly you come to 4 × 3 × 98 × 97 =1140724
× 3 × 98 × 97 = 114072 possibilities.
So first you need to take 31.96 away from 516.46 which is 484.5 and then work out the difference between 484.5 and 500 which is 15.5 so the answer is 15.5
Step-by-step explanation:
This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. Thus any line that is perpendicular to this line would have slope -2 /1 = -2.
Answer:
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