Advertisements
Advertisements
प्रश्न
Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?
उत्तर
SIMPLE
Total Number of letters = 6
They can be arranged in 6! ways
∴ The number of words = 6!
= 6 × 5 × 4 × 3 × 2 × 1
= 720
APPEARS IN
संबंधित प्रश्न
Evaluate `(n!)/((n-r)!)` when n = 6, r = 2
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
In how many ways can 7 letters be posted in 4 letter boxes?
Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?
Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?
Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?
Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?
Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?
The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is
A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is
Evaluate the following.
`((3!)! xx 2!)/(5!)`
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
How will the answer change if each question may have more than one correct answers?
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together
Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?
If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY
Suppose m men and n women are to be seated in a row so that no two women sit together. If m > n, show that the number of ways in which they can be seated is `(m!(m + 1)!)/((m - n + 1)1)`
Find the number of permutations of n different things taken r at a time such that two specific things occur together.
The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.
