English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

`(("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
  Is there an error in this question or solution?
Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.1 [Page 166]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 14. (vi) | Page 166

RELATED QUESTIONS

A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?


How many numbers between 100 and 1000 have 4 in the units place?


Select the correct answer from the given alternatives.

A college offers 5 courses in the morning and 3 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening


Answer the following:

A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall.


Four children are running a race:
In how many different ways could they finish the race?


How many three-digit numbers are there with 3 in the unit place?
with repetition


How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if repetition of digits allowed


How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are not allowed?


How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?


Find the value of 3! – 2!


Find the value of 3! × 2!


Evaluate `("n"!)/("r"!("n" - "r")!)` when for any n with r = 2


Find the value of n if (n + 1)! = 20(n − 1)!


Choose the correct alternative:
There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is


Choose the correct alternative:
The number of 10 digit number that can be written by using the digits 2 and 3 is


Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.


A candidate is required to answer 7 questions out of 12 questions, which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of doing question


Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the point


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×