मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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

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 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter 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 teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?


A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?


How many numbers between 100 and 1000 have 4 in the units place?


How many numbers between 100 and 1000 have the digit 7 exactly once?


If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?


How many numbers are there between 100 and 500 with 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 not allowed


Count the numbers between 999 and 10000 subject to the condition that there are no restriction


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


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


Find the value of `(12!)/(9! xx 3!)`


Choose the correct alternative:
The number of 5 digit numbers all digits of which are odd i


Choose the correct alternative:
The number of five digit telephone numbers having at least one of their digits repeated i


Choose the correct alternative:
The number of 10 digit number that can be written by using the digits 2 and 3 is


Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9 where no digits are repeated.


Three letters can be posted in five letterboxes in 35 ways.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×