Advertisements
Advertisements
प्रश्न
Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?
Advertisements
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
Find r if `""^5P_r = 2^6 P_(r-1)`
How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?
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?
How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?
Evaluate each of the following:
Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?
The number of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, is
How many five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?
If nP4 = 12(nP2), find n.
For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?
8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?
8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together
The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.
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 ______.
If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.
The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.
