English

Evaluate 8! - Mathematics

Advertisements
Advertisements

Question

Evaluate 8!

Sum
Advertisements

Solution

8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 = 40320.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Permutations and Combinations - Exercise 7.2 [Page 140]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 7 Permutations and Combinations
Exercise 7.2 | Q 1.1 | Page 140

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Is 3! + 4! = 7!?


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


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


In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?


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 the letters of the word ASSASSINATION be arranged so that all the S’s are together?


Which of the following are true:

(2 +3)! = 2! + 3!


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?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


Evaluate each of the following:

8P3


Evaluate each of the following:

10P

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


The number of five-digit telephone numbers having at least one of their digits repeated is


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 words from the letters of the word 'BHARAT' in which B and H will never come together, is


If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is


The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are


In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is


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


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.


How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?


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


For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:


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


The number of permutation of n different things taken r at a time, when the repetition is allowed is:


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?


How many ways can the product a2 b3 c4 be expressed without exponents?


Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?


The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.


How many words can be formed with the letters of the word MANAGEMENT by rearranging them?


If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?


Suppose m men and n women are to be seated in a row so that no two women sit together. If m > n, show that the number of ways in which they can be seated is `(m!(m + 1)!)/((m - n + 1)1)`


Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together


In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct?


How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×