हिंदी

Evaluate Each of the Following:6p6 - Mathematics

Advertisements
Advertisements

प्रश्न

Evaluate each of the following:

6P

उत्तर

\[{}^6 P_6 = \frac{6!}{(6 - 6)!} \]
\[ = \frac{6!}{0!} \]
\[ = \frac{6!}{1}                 (\text{Since} , 0! = 1) \]
\[ = 720\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.3 [पृष्ठ २८]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.3 | Q 1.3 | पृष्ठ २८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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


Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5


How many 3-digit numbers can be formed by using the digits 1 to 9 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 = 2^6 P_(r-1)`


Which of the following are true:

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


If three six faced die each marked with numbers 1 to 6 on six faces, are thrown find the total number of possible outcomes ?


A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?


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?


Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?


In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?


Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?


Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?


The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


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


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


If (n+2)! = 60[(n–1)!], find n


In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?


Evaluate the following.

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


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


The number of ways to arrange the letters of the word “CHEESE”:


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 each question has four choices?


A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

How will the answer change if each question may have more than one correct answers?


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


How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are together


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are even?


In how many ways can 5 children be arranged in a line such that two particular children of them are always together 


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


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×