If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence: 40;20;10

Q: Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many…

A: Given: Number of sightseeing offered is, n=6. Number of days is, d=3. The objective is to find the…

Q: How many different sequences or orders of visiting these four plants are possible? In how many…

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Q: How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

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Q: many four-letter sequences are possible that use the letters c, r, g, e once each?

A: We have to find out the possible no. Of four letter sequence.

Q: How many three-letter sequences are possible that use the letters c, o, j, w, x at most once each?…

A: Total given letters  c , o , j , w , x Which is 5 letters

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: How many eight-letter "words" (sequences of letters with repetition) are there in which vowels…

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Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)

Q: How many four-letter sequences are possible that use the letters d, k, m, t, v at most once each?

A: Given  n=5 r=4 to calculate, P(n,r)

Q: In the sequence    20,202,2020,20202,202020   each subsequent number is obtained by adding the digit…

A: given sequence  20,202,2020,20202,202020,.... we will divide the element of sequence into 4 groups…

Q: A coin is tossed 7 times and the sequence of heads and tails are observed. How many different…

A: In order to obtain the number of sequences of at least 3 heads, subtract the number of sequences for…

Q: A committee of four people is to be chosen from a nine member group to represent the group on an…

A: No of combinations of n objects takes r at a time isncr=n!n-r!r!Similarly here 4 members to be…

Q: A coin is flipped nine times, and the resulting sequence of heads and tails is recorded. How many…

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Q: 7 babies are randomly selected selected, how many different gender sequences are possible?

A: We have to find correct answer..

Q: A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available…

A: Given,no.of swimmers=6

Q: In the laboratory analysis of samples from a chemical process, seven samples from the process are…

A: Answer:----.            Date:----8/10/2021 1)  Number of different sequences of process and control…

Q: How many ordered sequences are possible that contain nine objects chosen from fifteen?

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Q: Imagine a lottery where balls numbered from 1 to 49 are placed in an urn and three are sequentially…

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Q: How many ordered sequences are possible that contain two objects chosen from nine?

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Q: 12 babies are randomly selected selected, how many different gender sequences are possible?

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Q: 60 people are at a banquet, 3 participants are selected to win door prizes. If the first person…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A shop has 6 types of candy. How many ways are there to select 24 pieces of candy with at least two…

A: The combination principles can be used to select a number of objects from a bundle. The number of…

Q: a) How many 7-letter quarternary (alphabet of 0, 1, 2, 3) sequences can be constructed with…

A: a) there will be 7C4 possible sequences which is equal to 35

Q: A fair 6-sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded. 1. How…

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Q: Among n ≥ 2 people, how many (unordered) pairs do you expect to share the same birthday? (365 day…

A: Assume 365 days in a year and that all days are equally likely. Since the birthday of any person can…

Q: In the laboratory analysis of samples from a chemical process, seven samples from the process are…

A: Given : 7 samples are process 1 control sample analyzed twice Hence , total items  = 9   a) If we…

Q: Each customer in a certain bank has a PIN number, which is a sequence of four digits. Show that if…

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Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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Q: Make up sequences that have (a) 3,3,3,3, ... as its second differences.

A: Solution of (a): Given that  3, 3, 3, 3, . . . is second difference of a sequence. We are suppose to…

Q: A lottery game requires that 4 different numbers are picked from 1 to 9. If someone picks all4…

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Q: A pin number is formed by choosing an ordered sequence of 4 digits from the set {0–9} where…

A: A 4 digit pin is constructed from the set {0-9} where repetition are not allowed but numbers…

Q: How many ordered sequences are possible that contain nine objects chosen from thirteen?

A: How many ordered sequences are possible that contain 9 objects from 13?

Q: A child types the letters Q, W, E, R, T, Y, randomly producing 1000 letters in all. What is the…

A: Given, Given letters are Q, W, E, R, T, Y N = 1000       To determine, Expected value of the…

Q: How many ordered sequences are possible that contain five objects chosen from eleven?

A: Total objects, n = 11 r = 5 Ordered sequences

Q: 9 Certain automobile license plates consist of a sequence of three letters followed by four digits.…

A: Given that Certain automobile license plates consist of a sequence of three letters followed by four…

Q: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

Q: In the sequence 20, 202, 2020, 20202, 202020,... each subsequent number is obtained by adding the…

A:

Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

A: According to the given information in this question We need to find that how many four letters…

Q: How many four-letter sequences are possible that use the letters b, p, g, e once each? ?sequences

A: We have four letters and four places. Every sequence should contain every letter once.

Q: How many sequences of n coin flips, wheren> 1/ contain no pair of consecutive heads (no HH) and no…

A: Solution

Q: a committe of four people is to be chosen from a nine member group to represent the group on an…

A: a committee of four people is to be chosen from a nine member group to represent the group on an…

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a…

A: Here we need to use binomial distribution

Q: How many sequences of 6 positive digits (1-9) contain at least one digit that appears twice?

A: We have to determine the total sequences of 6 positive digits (1-9) that contain at least one digit…

Q: A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in…

A: 1.) Here, three numbers are used between 1 to 36 with repetitions. The all possible ways in which a…

Q: A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in…

A: Solution: Correct option is C.

Q: how many 8-letter sequences formed from 4 letters (a,b,c,d) can occur with repetition allowed such…

A: According to the given information, it is required to find how many 8 letter sequences from 4…

Q: Cards are drawn one at a time, without replacement, from a standard deck of 52 cards until all 4 of…

A: Given Standard deck of 52 cards until all 4 of the aces are drawn

Q: i. How many different sequences are possible? ii. How many different sequences have all hip, knee,…

A: here use counting principle and total arrangements there are 3 knee , 4 hip, and 5 shoulder…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.