हिंदी

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,12,24,18,None of These.

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • 12

  • 24

  • 18

  • none of these.

MCQ
Advertisements

उत्तर

12
All S's can be placed either at even places or at odd places, i.e. in 2 ways.
The remaining letters can be placed at the remaining places in 3!, i.e. in 6 ways.
∴ Total number of ways = 6 x 2 = 12

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 7 | पृष्ठ ४६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together.


In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together?


Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]

How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?


How many numbers of six digits can be formed from the digits 0, 1, 3, 5, 7 and 9 when no digit is repeated? How many of them are divisible by 10 ?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


Evaluate each of the following:

8P3


Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?


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 different signals which can be given from 6 flags of different colours taking one or more at a time, is


The product of r consecutive positive integers is divisible by


If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are


English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X and Y. How many symmetric three letters passwords can be formed using these letters?


How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?


Find x if `1/(6!) + 1/(7!) = x/(8!)`


If nP4 = 12(nP2), find n.


Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.


Find the rank of the word ‘CHAT’ in the dictionary.


For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:


The total number of 9 digit number which has all different digit is:


Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 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


A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?


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?


Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?


Choose the correct alternative:
If `""^(("n" + 5))"P"_(("n" + 1)) = ((11("n" - 1))/2)^(("n" + 3))"P"_"n"`, then the value of n are


Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is


The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.


How many words can be formed with the letters of the word MANAGEMENT by rearranging them?


Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together


There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.


A five-digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is ______.


The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together 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 ______.


Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×