Tanisha has 70 coins, all quarters and dimes. There are 30 more quarters than dimes. Find the number of each type of coin

How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers probabi

yarga [219]

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.
Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

Know more about "permutations and combinations" here: brainly.com/question/13387529

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3 0

2 years ago

Which of the following relations is a function?

trasher [3.6K]

Answer:

a{(1, 3), (2, 3), (4,3), (9,3)}

Step-by-step explanation:

For the relation to be a function, each x can only go to 1 y

a{(1, 3), (2, 3), (4,3), (9,3)}

function

b{(1, 2), (1, 3), (1, 4), (1,5)}

x=1 goes to 4 different y's so not a function

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

x=4 goes to 2 different y's so not a function

d{(6,-1), (1,4), (2, 3), (6, 1)}

x = 6 goes to 2 different y's so not a function

5 0

4 years ago

Read 2 more answers

JIM TOSSES A BALL IN THE AIR WHEN ON THE COUNT OF 2, 3 , 5 8 13 what numbers will he count when he tosses the ball for the 6th 7

DENIUS [597]

Answer:

21, 34, and 55 because it's like that one ratio, I forgot the name tho

3 0

3 years ago

Roll dice and flip coin

scZoUnD [109]

Roll dice and flip coin:
Probability of rolling a cube and getting a 3 = 1/6 .
Probability of flipping a coin and getting HEADS = 1/2 .

Probability of both = (1/6) x (1/2) .
You do the multiplication.

4 blue, 2 green, 6 red
Probability of a blue on the first draw = 4 out of 12 marbles = 1/3 .
Without putting the blue back in ...
Probability of a red on the next draw = 6 out of 11 marbles = 6/11 .

Probability of both = (1/3) x (6/11) .
You do the multiplication.

8 0

3 years ago

Results of a survey conducted in 15 large cities within the U.S. finds that the average commute time one way to/from work is 25.

irina1246 [14]

Answer:

We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25.4 minutes

Sample mean, $\bar{x}$ = 22.1 minutes