What is the number of possible words that can be made using the word jasmine such that the vowels always come together?
Note: . Anagrams are meaningful words made after rearranging all the letters of the word. Show
Wordmaker is a website which tells you how many words you can make out of any given word in english language. we have tried our best to include every possible word combination of a given word. Its a good website for those who are looking for anagrams of a particular word. Anagrams are words made using each and every letter of the word and is of the same length as original english word. Most of the words meaning have also being provided to have a better understanding of the word. A cool tool for scrabble fans and english users, word maker is fastly becoming one of the most sought after english reference across the web. In how many different ways can the letters of the word TRAINER be arranged so that the vowels always come together?A. 1440B. 120C. 720D. 360Answer Verified
Hint: To solve this problem we have to know about the concept of permutations and combinations. But here a simple concept is used. In any given word, the number of ways we can arrange the word by jumbling the letters is the number of letters present in the word factorial. Here factorial of any number is the product of that number and all the numbers less than that number till 1. Complete step by step answer: The number of ways the word TRAINER can be arranged so that the vowels always come together are 360. Note: Here while solving such kind of problems if there is any word of $n$ letters and a letter is repeating for $r$ times in it, then it can be arranged in $\dfrac{{n!}}{{r!}}$ number of ways. If there are many letters repeating for a distinct number of times, such as a word of $n$ letters and ${r_1}$ repeated items, ${r_2}$ repeated items,…….${r_k}$ repeated items, then it is arranged in $\dfrac{{n!}}{{{r_1}!{r_2}!......{r_k}!}}$ number of ways. The word games Words With Friends, 4pics1Word, Word Chums, and Jumble which is by far one of the most successful of the word games. Jumble was created in 1954 - below, you will find the most unscrambled letters for each descramble word game that others have solved or decoded to make the word jasmine. Is jasmine a scrabble word or can you use jasmine in Words With Friends? The probability of getting this word in scrabble is 1 out of every 343098 games and in Words With Friends it's 1 out of every 453918 games. This 7 letter 16 point scrabble word can be rearranged 5,040 ways. What other words can be made with the letters a, e, i, j, m, n, and s? There's 3 with 9 letters or less with the letters a, e, i, j, m, n, and s. Here is a list of 3 to try to get you more points. 1) In what ways the letters of the word "RUMOUR" can be arranged?
Answer: D Answer with the explanation: The word RUMOUR consists of 6 words in which R and U are repeated twice. Or, = 180 Hence, 180 words can be formed by arranging the word RUMOUR. 2) In what ways the letters of the word "PUZZLE" can be arranged to form the different new words so that the vowels always come together?
Answer: D Answer with the explanation: The word PUZZLE has 6 different letters. As per the question, the vowels should always come together. Note: we know that 0! = 1Now, the vowels UE can be arranged in 2 different ways, i.e., 2P2 = 2! = 2*1 = 2 ways Hence, the new words, which can be formed after rearranging the letters = 120 *2 = 240 As we known z is occurring twice in the word ‘PUZZLE’ so we will divide the 240 by 2. So, the no. of permutation will be = 240/2 = 120 3) In what ways can a group of 6 boys and 2 girls be made out of the total of 7 boys and 3 girls?
Answer: C Answer with the explanation: We know that nCr = nC(n-r) The combination of 6 boys out of 7 and 2 girls out of 3 can be represented as 7C6 + 3C2 Hence, in 21 ways the group of 6 boys and 2 girls can be made. 4) Out of a group of 7 boys and 6 girls, five boys are selected to form a team so that at least 3 boys are there on the team. In how many ways can it be done?
Answer: C Answer with the explanation: We may have 5 men only, 4 men and 1 woman, and 3 men and 2 women in the committee. So, the combination will be as we know that nCr= So, (7C3 * 6C2) + (7C4 * 6C1) + (7C5) Or, 525 +210+21 = 756 So, there are 756 ways to form a committee. 5) A box contains 2 red balls, 3 black balls, and 4 white balls. Find the number of ways by which 3 balls can be drawn from the box in which at least 1 black ball should be present.
Answer: A Answer with the explanation: The possible combination could be (1 black ball and 2 non-black balls), (2 black balls and 1 non- black ball), and (only 3 black balls). Therefore the
required number of combinations = (3C1 * 6C2) + (3C2 * 6C1) + (3C3) Permutation and Combination Test Paper 2 Permutation and Combination Concepts How many ways vowels together?The number of ways the word TRAINER can be arranged so that the vowels always come together are 360.
How many words can be formed in letters of i so the vowels always come together II the vowels never come together?Total no. of words formed=4×24×6=576.
What is the number of possible words that can be made using the word easy quiz such that vowels always come together?What is the number of possible words that can be made using the word “QUIZ” such that the vowels never come together? Explanation: The word “QUIZ” has 4 letters in which “UI” are vowels. Total number of possible words = 4!
How many words can be formed with the letters of the word number so that vowels occupy odd place?Hence, the number of words where vowels occupy odd places are 576.
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