मराठी

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate `(n!)/((n-r)!)` when  n = 6, r = 2 


Find r if `""^5P_r = 2^6 P_(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?


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?


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


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 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?


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?


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:

10P

Evaluate each of the following:

6P


Evaluate each of the following:

P(6, 4)


Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?


How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3 ?


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


The number of arrangements of the letters of the word BHARAT taking 3 at a time is


The number of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, 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 six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?


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?


  1. In how many ways can 8 identical beads be strung on a necklace?
  2. In how many ways can 8 boys form a ring?

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


Evaluate the following.

`((3!)! xx 2!)/(5!)`


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


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


If `""^(("n"  – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n


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


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?


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?


How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are together


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?


Choose the correct alternative:
The product of r consecutive positive integers is divisible b


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


Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Determine the number of words which have at least one letter repeated.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×