हिंदी

Find X in Each of the Following: 1 6 ! + 1 7 ! = X 8 ! - Mathematics

Advertisements
Advertisements

प्रश्न

Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]
Advertisements

उत्तर

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]
\[ \Rightarrow \frac{1}{6!} + \frac{1}{7(6!)} = \frac{x}{8!}\]
\[ \Rightarrow \frac{7 + 1}{7(6!)} = \frac{x}{8!}\]
\[ \Rightarrow \frac{8}{7!} = \frac{x}{8!}\]
\[ \Rightarrow \frac{8}{7!} = \frac{x}{8 \times 7!}\]
\[ \Rightarrow x = 64\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.1 [पृष्ठ ४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.1 | Q 3.3 | पृष्ठ ४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?


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?


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?


Find r if `""^5P_r = ""^6P_(r-1)`


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 there are always 4 letters between P and S?


In how many ways can three jobs I, II and III be assigned to three persons AB and C if one person is assigned only one job and all are capable of doing each job?


Evaluate each of the following:

8P3


Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.


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


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


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


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


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants 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?


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


How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?


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


  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 2!)/(5!)`


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


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


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


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?


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


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


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


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.


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 ______.


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.


The number of 5-digit telephone numbers having atleast one of their digits repeated is ______.


The total number of 9 digit numbers which have all different digits is ______.


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

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×