Advertisements
Advertisements
प्रश्न
Find the distinct permutations of the letters of the word MISSISSIPPI?
Advertisements
उत्तर
The given word is MISSISSIPPI.
Number of letters in the word = 11
Number of S’s = 4
Number of I’s = 4
Number of P’s = 2
Number of M’s = I
Hence the total number of distinct words
= `(11!)/(4! xx 4! xx 2! xx 1!)`
= `(11 xx 10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4!)/(4 xx 3 xx 2 xx 1 xx 4! xx 2 xx 1 xx 1)`
= `(11 xx 10 xx 9 xx 8 xx 7 xx 6 xx 5)/(4 xx 3 xx 2 xx 2)`
= `(11 xx 10 xx 9 xx 8 xx 7 xx 6 xx 5)/(8 xx 6)`
= 10 × 10 × 9 × 7 × 5
= 34,650
APPEARS IN
संबंधित प्रश्न
Is 3! + 4! = 7!?
Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?
Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?
The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is
Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA 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 the following.
`(3! xx 0! + 0!)/(2!)`
The total number of 9 digit number which has all different digit is:
The number of permutation of n different things taken r at a time, when the repetition is allowed is:
If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r
A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?
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?
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
In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?
Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated? Find also the number of ways of their seating if all the ladies sit together.
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 three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.
