Suppose each license plate in a certain state has four letters followed by two digits. The letters I, O, Q,  and U and the digits 0, 1, 2, and 3 are not used. So, there are 22 letters and 6 digits that are used

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

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Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1t, 2nd and 3rd…

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Q: A website requires you to choose a username that contains 4 letters followed by 3 digits. How many…

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Q: Evaluate 1,C5 and P,

A: For 12C5, The formula of combination is,   Substitute the values in the above equation.   Thus,…

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: We have 10 digits and 26 alphabets in totalFor first letter we have 4 possible choices (W,X,Y, or…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: Suppose that a group of thirteen person consists of eight women and five men. How many seven-person…

A: Given,no.of womans=8no.of mens=5

Q: The first three digits of a 10-digit phone number make up the area code for the number. How many…

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Q: Mr. and Mrs. Roger want to name their first baby so that its monogram, first, middle, and last name…

A: Combination: A combination is a way of selecting items from the given collection when the order of…

Q: メ 3 メ

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Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: A certain compact disc player randomly plays each of 10 songs on a CD. Once a song is played, it is…

A: The compact disk randomly plays each of the 10 songs on a CD in such a way that they are repeated…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: ind the number of permutations of the letters in the word TENNESSEE

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Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

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Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: In a certain​ country, area codes have six digits and are subject to the following restrictions. The…

A: Given:In a certain country, area codes have six digits and are subject to the following…

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.