Advertisements
Advertisements
Question
Find the number of permutations of letters in the following word:
SHANTARAM
Solution
In the word 'SHANTARAM', the number of letters is n = 9 of which A repeats thrice, i.e., p = 3 and rest are distinct.
∴ the number of distinct permutations of the letters
= `("n"!)/("p"!)`
= `(9!)/(3!)`
= `(9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3!)/(3!)`
= 9 × 8 × 7 × 6 × 5 × 4
= 60480.
APPEARS IN
RELATED QUESTIONS
How many 4 letter words can be formed using letters in the word MADHURI if letters cannot be repeated
Find the number of permutations of letters in the following word:
DIVYA
Find the number of permutations of letters in the following word:
REPRESENT
Find the number of permutations of letters in the following word:
COMBINE
Find the number of permutations of letters in the following word:
BALBHARATI
A coin is tossed 8 times. In how many ways can we obtain 4 heads and 4 tails?
A coin is tossed 8 times. In how many ways can we obtain at least 6 heads?
A bag has 5 red, 4 blue, and 4 green marbles. If all are drawn one by one and their colours are recorded, how many different arrangements can be found?
Find the number of ways of arranging letters of the word MATHEMATICAL How many of these arrangements have all vowels together?
Find the number of different arrangements of letters in the word MAHARASHTRA. How many of these arrangements have letters R and H never together?
Find the number of different arrangements of letters in the word MAHARASHTRA. How many of these arrangements have all vowels together?
How many different words are formed if the letters R is used thrice and letters S and T are used twice each?
How many distinct 5 digit numbers can be formed using the digits 3, 2, 3, 2, 4, 5
Find the number of different ways of arranging letters in the word PLATOON if the two O’s are never together
Find the number of different ways of arranging letters in the word PLATOON if consonants and vowels occupy alternate positions
Answer the following:
How many numbers formed using the digits 3, 2, 0, 4, 3, 2, 3 exceed one million?
Answer the following:
How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficients if a coefficient can be repeated in an equation?
Answer the following:
How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?
How many different 9 digit numbers can be formed from the number 112226677 by rearranging its digits so that the odd digits occupy even positions?
Letters in the word HULULULU are rearranged. The probability of all three L being together is ______.
The number of ways of arranging letters of the ‘HAVANA’, so that V and N do not appear together, is ______.
