Question
Find the no. of words formed by using all the letter of
the word DISCOUNT, so that the vowels are never together?Solution
Total number of words formed by using all the letters of the given word = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 Number of words formed when vowels are together = DISCOUNT = 3! × 6! = 6 x 720 = 4320 Number of words formed when vowels are never together = 40320 – 4320 = 36000
In how many different ways can the letter of the word ‘JUSTICE’ be arranged?
How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "SEMINAR"?
From a group of 6 men and 5 women, a committee of 4 people is to be formed such that there is at least one woman in the committee. In how many ways can ...
Find the number of words that can be formed by using all letters of the word 'LAPTOP', if order of vowels remains same.
How many arrangements of the word COMMITTEE are possible if the vowels are always together?
From a group of 8 girls and 7 boys, a committee of 9 is to be formed. In how many ways can the committee be formed if it must include at least 6 girls?
In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "VINTAGER"?
A letter is randomly selected from the word "DETACHMENT." What is the probability that the selected letter is a vowel?
In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?
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