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
Evaluate `(n!)/((n-r)!)` when n = 6, r = 2
Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?
The number of different signals which can be given from 6 flags of different colours taking one or more at a time, is
The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is
Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.
How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?
A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?
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
Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are even?
If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER
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
Choose the correct alternative:
The product of r consecutive positive integers is divisible b
Find the number of permutations of n different things taken r at a time such that two specific things occur together.
Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur 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 ______.
Five boys and five girls form a line. Find the number of ways of making the seating arrangement under the following condition:
| C1 | C2 |
| (a) Boys and girls alternate: | (i) 5! × 6! |
| (b) No two girls sit together : | (ii) 10! – 5! 6! |
| (c) All the girls sit together | (iii) (5!)2 + (5!)2 |
| (d) All the girls are never together : | (iv) 2! 5! 5! |
Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 4 different digits is formed. Find
| C1 | C2 |
| (a) How many numbers are formed? | (i) 840 |
| (b) How many number are exactly divisible by 2? | (i) 200 |
| (c) How many numbers are exactly divisible by 25? | (iii) 360 |
| (d) How many of these are exactly divisible by 4? | (iv) 40 |
How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if
| C1 | C2 |
| (a) 4 letters are used at a time | (i) 720 |
| (b) All letters are used at a time | (ii) 240 |
| (c) All letters are used but the first is a vowel | (iii) 360 |
Number of words from the letters of the words BHARAT in which B and H will never come together is ______.
