मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Evaluate nrnrn!r!(n-r)! when n = 6, r = 2 - Mathematics

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

n = 6 , r = 2

`("n"!)/("r"!("n" - "r")!) = (6!)/(2!(6 - 2)!)`

= `(6!)/(2!4!)`

= `(6 xx 5xx 4!)/(2 xx 1 xx 4!)`

= `(6 xx 5)/2`

= 3 × 5

= 15

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 15. (i) | पृष्ठ १६६

संबंधित प्रश्‍न

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?


Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?


How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?


A school has three gates and four staircases from the first floor to the second floor. How many ways does a student have to go from outside the school to his classroom on the second floor?


How many five-digit numbers formed using the digit 0, 1, 2, 3, 4, 5 are divisible by 5 if digits are not repeated?


How many words can be formed by writing letters in the word CROWN in different order?


How many three-digit numbers are there with 3 in the unit place?
with repetition


How many three-digit odd numbers can be formed by using the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed


How many three-digit odd numbers can be formed by using the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is allowed


Count the numbers between 999 and 10000 subject to the condition that there are no digit is repeated


Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated


In how many ways 10 pigeons can be placed in 3 different pigeon holes?


Find the value of 3! – 2!


How many numbers are there between 99 and 1000 having atleast one of their digits 7?


There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?


If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then what is the rank of the word RACHIT?


Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.


The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.


In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 312 ways.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×