How many numbers follow a vowel alphabet?
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I think $$\frac{(16!\times21)!}{5!\times11!}$$ since there are ${16\choose5}$ ways to place vowels between consonants and there are $21!$ ways to place consonants. Is this correct? asked Jan 23, 2020 at 9:43
$\endgroup$ 7 $\begingroup$ Your first problem is essentially finding the number of ways to arrange $21$ C's and $5$ V's in a line such that every V is followed by at least two C's. This is equivalent to the number of ways to arrange $5$ VCC's and $11$ C's, which is $\binom{16}5$. Having done that, the only remaining problem is replacing the C's and V's with different permutations of the actual consonants and vowels. Therefore, the total number of arrangements is $$\binom{16}5\;21!\cdot5!$$ answered Jan 23, 2020 at 10:58 $\endgroup$ For example we can make an alphanumeric sequence as follows − A $ E R 9 * T 5 F 6 @ D 8 In the above sequence, we can see that there are numbers, alphabets, and symbols. These types of sequences are called alphanumeric sequence. We can make many sequences like this and can deduce questions based on the sequences. Important Points to Remember Let’s have an alphanumeric sequence − A $ E R 9 * T 5 F 6 @ D 8 Questions regarding this chapter can come in this way − a. Which element is nth from the left of the sequence? b. Which element is nth from the right of the sequence? c. Which element is mth to the right of nth from the left of the sequence? d. Which element is mth to the left of nth from the left of the sequence? e. Which element is mth to the right of nth from the right of the sequence? f. Which element is mth to the left of nth from the right of the sequence? g. A precedes B h. B is preceded by A i. B follows A j. A is followed by B To solve questions like this, we have to watch the sequence thoroughly and answer accordingly. a. Which element is nth from the left of the sequence? To get the answer of the above question, we have to look at the sequence from the left side and have to count the exact number that is asked in the question. b. Which element is nth from the right of the sequence? To get the answer of the above question, we have to look at the sequence from the right side and have to count the exact number that is asked in the question. c. Which element is mth to the right of nth from the left of the sequence? To get the answer for such type of questions, we have to find out the nth element from the left side of the sequence and then find out the mthelement to the right of that particular element. d. Which element is mth to the left of nth from the left of the sequence? To get the answer for such type of questions, we have to find out the nth element from the left side of the sequence and then find out the mthelement to the left of that particular element. e. Which element is mth to the right of nth from the right of the sequence? To get the answer for such type of questions, we have to find out the nth element from the right side of the sequence and then find out the mth element to the right of that particular element. f. Which element is mth to the left of nth from the right of the sequence? To get the answer for such type of questions, we have to find out the nth element from the right side of the sequence and then find out the mth element to the left of that particular element. g. If it is written that A precedes B then it means A is placed before B. h. Similarly if it is written that B is preceded by A then it means A is placed before B. i. If it is written that B follows A then it means B is placed after A. j. If it is written that A is followed by B then B is placed after A. These ten type of questions are normally asked in this chapter. Whether it is of a type or b type or c type or j type we have to read the question carefully and see the sequence and finally we can get the answer according to the question. Samples A F % 5 G H & 8 Y 6 3 N M * ! H 8 I- Which element is 3rd to the right of 5th from left?Options − A - & B - 8 C - 6 D - 3 Answer − Option B Explanation − By observing the sequence, we can get that 8 is the required element at the required place, hence, option b is correct. II - How many numbers are there which are immediately preceded by a symbol and followed by a consonant?Options − A - One B - Two C - Three D - None Answer − Option B Explanation − Only two are possible and they are: % 5 G and & 8 Y. III - Which element is 4th to the left of 5th from right?Options − A - 8 B - 6 C - 3 D - Y Answer − Option D Explanation − Y is the required element. Hence option D. Direction: Study the following information carefully and answer the questions. W 7 @ I R P 3 9 B A $ 4 H D 5 © M E 2 % T * 8 δ U Q N 1 V 6 # K F Question 6 How many such consonants are there in above arrangement, each of which is immediately preceded by a consonant and immediately followed by a symbol?
sol:No such combination is there in the given arrangement. Direction: Study the following information carefully and answer the questions. W 7 @ I R P 3 9 B A $ 4 H D 5 © M E 2 % T * 8 δ U Q N 1 V 6 # K F Question 7 if all the symbols are dropped from the above arrangement, which of the following will be the fifteenth from the left end?
Sol: Let we dropped all the symbols from the above arrangement, we get fifteenth from the left end : E Direction: Study the following information carefully and answer the questions. W 7 @ I R P 3 9 B A $ 4 H D 5 © M E 2 % T * 8 δ U Q N 1 V 6 # K F Question 8 How many such numbers are there in the above arrangement, each of which is immediately preceded by a symbol and immediately followed by a consonant?
Sol:Such numbers those are there in the above arrangement, each of which is immediately preceded by a symbol and immediately followed by a consonant $ 4 H (only one such combination is there) Direction: Study the following information carefully and answer the questions. W 7 @ I R P 3 9 B A $ 4 H D 5 © M E 2 % T * 8 δ U Q N 1 V 6 # K F Question 9 Four of the following five are alike in a certain way based on their positions in the above arrangement and so form a group. Which is the one that does not belong to that group?
Sol: In the following four (T * 2, Q N 8, 3 9 I, % T E) the first two characters are line in the same sequence in the given series W 7 @ I R P 3 9 B A $ 4 H D 5 © M E % T * 8 δ U Q N 1 V 6 # K F But in 6 V K first two characters 6 and V are ling in reverse order in in the series (i.e. V 6). Hence 6 V K is different from others. Direction: Study the following information carefully and answer the questions. W 7 @ I R P 3 9 B A $ 4 H D 5 © M E 2 % T * 8 δ U Q N 1 V 6 # K F Question 10 Which of the following is the ninth to the right of the twenty – second from the right end of the above arrangement?
Sol: The twenty – second from the right end is $ the ninth to the right of the twenty – second from the right end ($) : T What is the total number of vowels?The five letters a, e, i, o and u are called vowels. All other alphabets except these 5 vowels are called consonants.
How many numbers are in the given alphanumeric series preceded by a vowel?Vowels in an alphabet series: a, e, i, o, and u. The number of vowels in the given Alphanumeric series is 2.
How many numbers are there in the series which are preceded by vowel and succeeded by a constant?Elements which are immediately followed by a vowel and immediately preceded by a consonant. There are six such elements. Hence, the answer is Six.
What is alpha numeric sequence?Alphanumeric sequence is a sequence which consists of both alphabets and numbers. In this sequence, we can also add some symbols along with alphabets and numbers. For example we can make an alphanumeric sequence as follows − A $ E R 9 * T 5 F 6 @ D 8.
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