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Dennis_Churaev [7]
4 years ago
13

To win a certain state lottery, players must correctly choose 4 numbers (in any order) from the numbers 1 to 40. How many differ

ent 4 number combinations are there? A. 800 B. 91390 C. 160 D. 24
Mathematics
2 answers:
irina [24]4 years ago
5 0

Answer:  B. 91,390

Step-by-step explanation:

The combination of n things taken m things at a time is given by :-

^nC_m=\dfrac{n!}{m!(n-m)!}

Given : The total numbers in lottery = 40

The number of correct numbers to win the lottery = 4

Now, the combination of 40 numbers taken 4 correct numbers at a time is given by :-

^{40}C_{4}=\dfrac{40!}{4!(40-4)!}\\\\=\dfrac{40\times39\times38\times37\times36!}{(24)(36!)}=91,390

Hence, there are 91,390 different 4 number combinations .

inn [45]4 years ago
4 0
Theres about 800 different combinations, i'm not sure though, i'm sorry if i'm wrong
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n an after school program, students must choose to either play on the playground or read a book silently. On one cloudy day, 70%
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Find the distance between the points (3,2) and (8,10)
nadezda [96]

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(y2-y1) / (x2-x1)

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6 0
2 years ago
Read 2 more answers
A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
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