हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Find the value of nn(n+3)!(n+1)! - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value of `(("n" + 3)!)/(("n" + 1)!)`

योग
Advertisements

उत्तर

`(("n" + 3)!)/(("n" + 1)!) = (("n" + 3)("n" + 2)("n" + 1)!)/(("n" + 1)!)`

= (n + 3)(n + 2)
= n2 + 3n + 2n + 6
= n2 + 5n + 6

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 14. (vi) | पृष्ठ १६६

संबंधित प्रश्न

How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?


In a test, 5 questions are of the form 'state, true or false'. No student has got all answers correct. Also, the answer of every student is different. Find the number of students appeared for the test.


How many numbers between 100 and 1000 have the digit 7 exactly once?


How many five-digit numbers formed using the digit 0, 1, 2, 3, 4, 5 are divisible by 5 if digits are not repeated?


A mobile phone has a passcode of 6 distinct digits. What is the maximum number of attempts one makes to retrieve the passcode?


How many numbers are there between 1 and 1000 (both inclusive) which are divisible neither by 2 nor by 5?


Count the total number of ways of answering 6 objective type questions, each question having 4 choices


Find the value of `(12!)/(9! xx 3!)`


Find the value of n if `1/(8!) + 1/(9!) = "n"/(10!)`


Choose the correct alternative:
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is


The number of ways in which a garland can be formed by using 10 identical pink flowers and 9 identical white flowers is ______


All the letters of the word PADMAPRIYA are placed at random in a row. The probability that the word PRIY A occurs without getting split is ______


In how many ways can this diagram be coloured subject to the following two conditions?
(i) Each of the smaller triangle is to be painted with one of three colours: red, blue or green.
(ii) No two adjacent regions have the same colour.


There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?


Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.


The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is ______.


The number of six-digit numbers, all digits of which are odd is ______.


In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 312 ways.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×