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

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 numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed?


How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is not allowed?


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


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 two letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?


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


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


In how many ways 5 persons can be seated in a row?


Four children are running a race:
In how many ways can the first two places be filled?


Count the number of three-digit numbers which can be formed from the digits 2, 4, 6, 8 if repetitions of digits is not allowed


How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if repetition of digits 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 at least one of the digits 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 not allowed?


To travel from a place A to place B, there are two different bus routes B1, B2, two different train routes T1, T2 and one air route A1. From place B to place C there is one bus route say B1, two different train routes say T1, T2 and one air route A1. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 10, r = 3


Choose the correct alternative:
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is


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


The number of possible outcomes when a coin is tossed 6 times is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×