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

Compute `(8!)/(6! xx 2!)`


How many 4-digit numbers are there with no digit repeated?


Find n if n – 1P3 : nP4 = 1 : 9


Find r if `""^5P_r = ""^6P_(r-1)`


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 the letters of the word PERMUTATIONS be arranged if the there are always 4 letters between P and S?


Find x in each of the following:

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

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?


How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?


Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.


Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?


In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


Evaluate each of the following:

P(6, 4)


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 ?


The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


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


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


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 five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?


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


The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:


The number of permutation of n different things taken r at a time, when the repetition is allowed is ______.


Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?


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?


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 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:
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.


The number of permutations of n different objects, taken r at a line, when repetitions are allowed, 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 ______.


Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 4 different digits is formed. Find

C1 C2
(a) How many numbers are formed? (i) 840
(b) How many number are exactly divisible by 2? (i) 200
(c) How many numbers are exactly divisible by 25? (iii) 360
(d) How many of these are exactly divisible by 4? (iv) 40

If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.


If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×