Advertisements
Advertisements
प्रश्न
Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?
Advertisements
उत्तर
The given word is THING
Arranging the letters of the word in the dictionary order
We have G, H, I, N, T
The number of strings that can be made using all the letters T, H, I, N, G of the word
THING is = 5! = 120
The number of words beginning with G = 4!
The number of words beginning with H = 4!
The number of words beginning with I = 4!
Number of words so far formed = 4! + 4! + 4!
= 24 + 24 + 24
= 72 words
As the required word is in the 85th position
The required word must begin with N
Number of words beginning with NG = 3!
A number of words beginning with NH = 3!
Total number of words so far formed
= 72 + 3! + 3!
= 72 + 6 + 6
= 84 words
The next string is the required string.
It should begin with NI and its first word beginning with NI which is NIGHT
∴ 85th strings are NIGHT.
APPEARS IN
संबंधित प्रश्न
How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
In how many ways can three jobs I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
Find the number of ways in which one can post 5 letters in 7 letter boxes ?
In how many ways 4 women draw water from 4 taps, if no tap remains unused?
Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?
Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?
The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is
If nP4 = 12(nP2), find n.
How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?
Evaluate the following.
`(3! xx 0! + 0!)/(2!)`
For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
How will the answer change if each question may have more than one correct answers?
In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?
A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?
Choose the correct alternative:
The product of r consecutive positive integers is divisible b
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 permutations of n different things taken r at a time such that two specific things occur together.
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.
The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is ______.
