हिंदी

There Are 6 Items in Column a and 6 Items in Column B. a Student is Asked to Match Each Item in Column a with an Item in Column B. How Many Possible, Correct Or Incorrect, - Mathematics

Advertisements
Advertisements

प्रश्न

There are 6 items in column A and 6 items in column B. A student is asked to match each item in column A with an item in column B. How many possible, correct or incorrect, answers are there to this question?

उत्तर

Each answer is an arrangement of the 6 items of column B keeping the order of column A fixed.
∴ Total number of answers = Number of arrangements of items in column B = 6P6 = 6! = 720

shaalaa.com
Factorial N (N!) Permutations and Combinations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.3 [पृष्ठ २९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.3 | Q 24 | पृष्ठ २९

संबंधित प्रश्न

Convert the following products into factorials:

5 · 6 · 7 · 8 · 9 · 10


Convert the following products into factorials: 

3 · 6 · 9 · 12 · 15 · 18


Prove that: n! (n + 2) = n! + (n + 1)!


If (n + 2)! = 60 [(n − 1)!], find n. 


If (n + 3)! = 56 [(n + 1)!], find n.


If 5 P(4, n) = 6. P (5, n − 1), find n ?


If nP4 = 360, find the value of n.


If P (2n − 1, n) : P (2n + 1, n − 1) = 22 : 7 find n.


Prove that:1 . P (1, 1) + 2 . P (2, 2) + 3 . P (3, 3) + ... + n . P (nn) = P (n + 1, n + 1) − 1.


From among the 36 teachers in a school, one principal and one vice-principal are to be appointed. In how many ways can this be done?


Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done?


How many words, with or without meaning, can be formed by using the letters of the word 'TRIANGLE'?


How many three-digit numbers are there, with no digit repeated?


In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?


In how many ways can the letters of the word 'STRANGE' be arranged so that

the vowels come together?

 


In how many ways can the letters of the word 'STRANGE' be arranged so that

the vowels occupy only the odd places?


How many words can be formed out of the letters of the word, 'ORIENTAL', so that the vowels always occupy the odd places?


How many permutations can be formed by the letters of the word, 'VOWELS', when

each word begins with O and ends with L?


How many permutations can be formed by the letters of the word, 'VOWELS', when

all vowels come together?


How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if all letters are used but first is vowel.


Find the number of words formed by permuting all the letters of the following words:

PAKISTAN


Find the number of words formed by permuting all the letters of the following words:

RUSSIA


Find the number of words formed by permuting all the letters of the following words:
SERIES


Find the number of words formed by permuting all the letters of the following words:
CONSTANTINOPLE


How many numbers can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy the odd places?


How many different signals can be made from 4 red, 2 white and 3 green flags by arranging all of them vertically on a flagstaff?


In how many ways can the letters of the word 'ARRANGE' be arranged so that the two R's are never together?


How many words can be formed from the letters of the word 'SERIES' which start with S and end with S?


There are three copies each of 4 different books. In how many ways can they be arranged in a shelf?


How many numbers greater than 1000000 can be formed by using the digits 1, 2, 0, 2, 4, 2, 4?


The letters of the word 'SURITI' are written in all possible orders and these words are written out as in a dictionary. Find the rank of the word 'SURITI'.


In how many ways can the letters of the word
"INTERMEDIATE" be arranged so that:the vowels always occupy even places?


If 35Cn +7 = 35C4n − 2 , then write the values of n.


Write the number of diagonals of an n-sided polygon.


Write the expression nCr +1 + nCr − 1 + 2 × nCr in the simplest form.


Write the maximum number of points of intersection of 8 straight lines in a plane.


Write the number of ways in which 12 boys may be divided into three groups of 4 boys each.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×