हिंदी

Find R If 5p_R = 2^6 P_(R-1) Permutations,

Advertisements
Advertisements

प्रश्न

Find r if `""^5P_r = 2^6 P_(r-1)`

Advertisements

उत्तर

∴0 ≤ ≤ 5

Hence, r ≠ 10

r = 3

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Evaluate 8!


Is 3! + 4! = 7!?


From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?


How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

(i) 4 letters are used at a time,

(ii) all letters are used at a time,

(iii) all letters are used but first letter is a vowel?


Find x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]

Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?


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 ?


Evaluate each of the following:

8P3


Evaluate each of the following:

10P

In how many ways can 4 letters be posted in 5 letter boxes?


Write the number of arrangements of the letters of the word BANANA in which two N's come together.


Write the number of ways in which 7 men and 7 women can sit on a round table such that 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 different signals which can be given from 6 flags of different colours taking one or more at a time, is


The number of ways to arrange the letters of the word CHEESE are


A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


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


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


The possible outcomes when a coin is tossed five times:


If n is a positive integer, then the number of terms in the expansion of (x + a)n is:


If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r


How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


How many ways can the product a2 b3 c4 be expressed without exponents?


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


How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative


How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together


If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
GARDEN


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?


In how many ways can 5 children be arranged in a line such that two particular children of them are always 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 permutations of n different things taken r at a time such that two specific things occur together.


Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated 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 ______.


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`.


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 ______.


The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×