Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
The given word is FUNNY
To find the rank of the word FUNNY
Write down the letters of the word FUNNY.
Other than F in alphabetical order N, N, U, Y
Number of words beginning with F = `(4!)/(2!)`
= `(1 xx 2 xx 3 xx 4)/(1 xx 2)`
= 12 words
Among these words, the number of words beginning with FN = 3!
= 1 × 2 × 3
= 6 words
(Treating FN as one unit, the remaining 3 letters can be arranged in 3! ways)
The number of words beginning with FU is = `(3!)/(2!)`
= `(1 xx 2 xx 3)/(1 xx 2)`
= 3 words
Among these three words
FUNNY is the first word
Hence among the twelve words beginning with F
FUNNY appears as the 7th word.
APPEARS IN
संबंधित प्रश्न
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Find n if n – 1P3 : nP4 = 1 : 9
Find r if `""^5P_r = 2^6 P_(r-1)`
In how many ways can 5 different balls be distributed among three boxes?
There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?
In how many ways 4 women draw water from 4 taps, if no tap remains unused?
Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?
The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is
Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?
Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?
8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?
Find the distinct permutations of the letters of the word MISSISSIPPI?
How many ways can the product a2 b3 c4 be expressed without exponents?
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 distinct 6-digit numbers are there?
If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?
In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct?
The total number of 9 digit numbers which have all different digits is ______.
In the permutations of n things, r taken together, the number of permutations in which m particular things occur together is `""^(n - m)"P"_(r - m) xx ""^r"P"_m`.
If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.
