Advertisements
Advertisements
Question
Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?
Solution
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
RELATED QUESTIONS
Evaluate 4! – 3!
if `1/(6!) + 1/(7!) = x/(8!)`, find x
Find r if `""^5P_r = ""^6P_(r-1)`
A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?
Evaluate each of the following:
8P3
The number of words from the letters of the word 'BHARAT' in which B and H will never come together, 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
The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is
Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
What is the maximum number of different answers can the students give?
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?
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?
Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.
Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together
Let b1, b2, b3, b4 be a 4-element permutation with bi ∈ {1, 2, 3, .......,100} for 1 ≤ i ≤ 4 and bi ≠ bj for i ≠ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1, b2, b3, b4 is equal to ______.
8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.
The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.