मराठी

If (N + 3)! = 56 [(N + 1)!], Find N. - Mathematics

Advertisements
Advertisements

प्रश्न

If (n + 3)! = 56 [(n + 1)!], find n.

Advertisements

उत्तर

(n + 3)! = 56 [(n + 1)!]

\[\Rightarrow\](n + 3)\[\times\] (n + 2)\[\times\](n + 1)! = 56 [(n + 1)!]
\[\Rightarrow\](n + 3)\[\times\](+ 2) = 56
\[\Rightarrow\] (n + 3)\[\times\] (n + 2) = 8\[\times\]7
\[\Rightarrow\] n + 3 = 8

∴ n = 5

shaalaa.com
Factorial N (N!) Permutations and Combinations
  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 9 | पृष्ठ ४

संबंधित प्रश्‍न

If nP4 = 360, find the value of n.


If P(11, r) = P (12, r − 1) find r.


If P (n, 4) = 12 . P (n, 2), find n.


If P (n, 5) : P (n, 3) = 2 : 1, find n.


If P (15, r − 1) : P (16, r − 2) = 3 : 4, find r.


Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done?


How many three-digit numbers are there, with distinct digits, with each digit odd?


There are two works each of 3 volumes and two works each of 2 volumes; In how many ways can the 10 books be placed on a shelf so that the volumes of the same work are not separated?


In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?


If a denotes the number of permutations of (x + 2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of  permutations of x − 11 things taken all at a time such that a = 182 bc, find the value of x.


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


How many words can be formed from the letters of the word 'SUNDAY'? How many of these begin with D?


How many different words can be formed from the letters of the word 'GANESHPURI'? In how many of these words:

the letters P and I respectively occupy first and last place?


How many permutations can be formed by the letters of the word, 'VOWELS', when

each word begins with O and ends with L?


How many permutations can be formed by the letters of the word, 'VOWELS', when

all consonants come together?


How many words can be formed out of the letters of the word 'ARTICLE', so that vowels occupy even places?


Find the number of words formed by permuting all the letters of the following words:
INTERMEDIATE


Find the number of words formed by permuting all the letters of the following words:
EXERCISES


Find the total number of arrangements of the letters in the expression a3 b2 c4 when written at full length.


How many numbers can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy the odd places?


In how many ways can the letters of the word 'ARRANGE' be arranged so that the two R's are never together?


How many different numbers, greater than 50000 can be formed with the digits 0, 1, 1, 5, 9.


How many different arrangements can be made by using all the letters in the word 'MATHEMATICS'. How many of them begin with C? How many of them begin with T?


In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row if the discs of the same colour are indistinguishable?


Find the total number of ways in which six ‘+’ and four ‘−’ signs can be arranged in a line such that no two ‘−’ signs occur together.


In how many ways can the letters of the word
"INTERMEDIATE" be arranged so that:the vowels always occupy even places?


Prove that the product of 2n consecutive negative integers is divisible by (2n)!


How many words, with or without meaning can be formed from the letters of the word 'MONDAY', assuming that no letter is repeated, if (i) 4 letters are used at a time 


How many words, with or without meaning can be formed from the letters of the word 'MONDAY', assuming that no letter is repeated, if  all letters are used at a time 


Find the number of permutations of n different things taken r at a time such that two specified things occur together?


Write the expression nCr +1 + nCr − 1 + 2 × nCr in the simplest form.


Write the number of ways in which 5 red and 4 white balls can be drawn from a bag containing 10 red and 8 white balls.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×