हिंदी

Evaluate Each of the Following:10p4 - Mathematics

Advertisements
Advertisements

प्रश्न

Evaluate each of the following:

10P

उत्तर

\[\ {}^{10} P_4 = \frac{10!}{(10 - 4)!} \]
\[ = \frac{10!}{6!}\]
\[ = \frac{10(9)(8)(7)(6!)}{6!}\]
\[ = 10 \times 9 \times 8 \times 7 \]
\[ = 5040\]

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 1.2 | पृष्ठ २८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Evaluate 4! – 3!


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


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


Find n if n – 1P3 : nP4 = 1 : 9


How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


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?


In how many ways can 4 letters be posted in 5 letter boxes?


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


Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?


The number of different signals which can be given from 6 flags of different colours taking one or more at a time, is


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


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


Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.


Find the rank of the word ‘CHAT’ in the dictionary.


Evaluate the following.

`((3!)! xx 2!)/(5!)`


If n is a positive integer, then the number of terms in the expansion of (x + a)n is:


The total number of 9 digit number which has all different digit 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 the first four questions have three choices and the remaining have five choices?


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


In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together


A coin is tossed 8 times, how many different sequences of heads and tails are possible?


A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?


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 


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


There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.


Let b1, b2, b3, b4 be a 4-element permutation with bi ∈ {1, 2, 3, .......,100} for 1 ≤ i ≤ 4 and bi ≠ bj for i ≠ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1, b2, b3, b4 is equal to ______.


The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×