हिंदी

Find the Number of Ways in Which 8 Distinct Toys Can Be Distributed Among 5 Childrens. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.

Advertisements

उत्तर

Each of the toy can be distributed in 5 ways.
∴ Total number of ways of distributing the toys =`5xx5xx5xx5xx5xx5xx5xx5=5^8`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 41 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Evaluate 4! – 3!


Compute `(8!)/(6! xx 2!)`


How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, 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 x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]

Which of the following are true:

(2 × 3)! = 2! × 3!


In how many ways can three jobs I, II and III be assigned to three persons AB and C if one person is assigned only one job and all are capable of doing each job?


How many numbers of six digits can be formed from the digits 0, 1, 3, 5, 7 and 9 when no digit is repeated? How many of them are divisible by 10 ?


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?


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?


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


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?


Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?


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 ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is


How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?


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


If (n+2)! = 60[(n–1)!], find n


How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?


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?


  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?

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


The total number of 9 digit number which has all different digit is:


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


If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?


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


Find the distinct permutations of the letters of the word MISSISSIPPI?


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


How many strings are there using the letters of the word INTERMEDIATE, if vowels are never 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?


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?


Choose the correct alternative:
If `""^(("n" + 5))"P"_(("n" + 1)) = ((11("n" - 1))/2)^(("n" + 3))"P"_"n"`, then the value of n are


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


In the permutations of n things, r taken together, the number of permutations in which m particular things occur together is `""^(n - m)"P"_(r - m) xx ""^r"P"_m`.


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

8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×