मराठी

Find X in Each of the Following: X 10 ! = 1 8 ! + 1 9 ! - Mathematics

Advertisements
Advertisements

प्रश्न

Find x in each of the following:

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

उत्तर

\[ \frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]
\[ \Rightarrow \frac{x}{10!} = \frac{1}{8!} + \frac{1}{9(8!)}\]
\[ \Rightarrow \frac{x}{10!} = \frac{9 + 1}{9(8!)} \]
\[ \Rightarrow \frac{x}{10!} = \frac{10}{9!}\]
\[ \Rightarrow \frac{x}{10 \times 9!} = \frac{10}{9!}\]
\[ \Rightarrow x = 100\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Permutations - Exercise 16.1 [पृष्ठ ४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.1 | Q 3.2 | पृष्ठ ४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate 8!


Is 3! + 4! = 7!?


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


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


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


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


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


Find n if n – 1P3 : nP4 = 1 : 9


Which of the following are true:

(2 × 3)! = 2! × 3!


A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.


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 total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


Evaluate each of the following:

P(6, 4)


Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.


Write the number of numbers that can be formed using all for digits 1, 2, 3, 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 arrangements of the word "DELHI" in which E precedes I 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


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


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?


If nP4 = 12(nP2), find n.


  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?

Evaluate the following.

`(3! xx 0! + 0!)/(2!)`


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


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


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?


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 all the vowels are together


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 distinct 6-digit numbers are there?


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


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
DANGER


Find the number of permutations of n different things taken r at a time such that two specific things occur 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.


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 ______.


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.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×