मराठी

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

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?
पाठ 7: Permutations and Combinations - Exercise 7.3 [पृष्ठ १४८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Exercise 7.3 | Q 7.1 | पृष्ठ १४८

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5


How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?


Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?


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:

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

If three six faced die each marked with numbers 1 to 6 on six faces, are thrown find the total number of possible outcomes ?


How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


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


In how many ways can 5 different balls be distributed among three boxes?


In how many ways can 7 letters be posted in 4 letter boxes?


Evaluate each of the following:

P(6, 4)


The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is


The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is


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


If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is


The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


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 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?


In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?


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


The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N 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?


8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?


8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?


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


In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?


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


How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are together


If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY


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


In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are 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 signals that can be sent by 6 flags of different colours taking one or more at a time is ______.


If m+nP2 = 90 and m–nP2 = 30, then (m, n) is given by ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×