English

How Many Different Products Can Be Obtained by Multiplying Two Or More of the Numbers 3, 5, 7, 11 (Without Repetition)?

Advertisements
Advertisements

Question

How many different products can be obtained by multiplying two or more of the numbers 3, 5, 7, 11 (without repetition)?

Advertisements

Solution

Required number of ways of getting different products = 

\[{}^4 C_2 +^4 C_3 +^4 C_4 = 6 + 4 + 1 = 11\]
shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Combinations - Exercise 17.2 [Page 15]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 17 Combinations
Exercise 17.2 | Q 6 | Page 15

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

If nC8 = nC2, find nC2.


How many chords can be drawn through 21 points on a circle?


In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?


A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:

(i) exactly 3 girls?

(ii) atleast 3 girls?

(iii) atmost 3 girls?


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


How many three-digit numbers are there?


How many three-digit odd numbers are there?


Since the  number has to be greater than 8000, the thousand's place can be filled by only two digits, i.e. 8 and 9.
Now, the hundred's place can be filled with the remaining 4 digits as the repetition of the digits is not allowed.
The ten's place can be filled with the remaining 3 digits.
The unit's place can be filled with the remaining 2 digits.
Total numbers that can be formed = `2xx4xx3xx2=48`


Evaluate the following:

12C10


If nC10 = nC12, find 23Cn.


If 18Cx = 18Cx + 2, find x.


If 2nC3 : nC2 = 44 : 3, find n.


If α = mC2, then find the value of αC2.


From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?


In how many ways can a student choose 5 courses out of 9 courses if 2 courses are compulsory for every student?


In how many ways can a football team of 11 players be selected from 16 players? How many of these will

include 2 particular players?


From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition; at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?


A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (ii) at least one boy and one girl? 


In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


In how many ways can one select a cricket team of eleven from 17 players in which only 5 persons can bowl if each cricket team of 11 must include exactly 4 bowlers?


A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: exactly 3 girls?


A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: at least 3 girls?


Find the number of ways in which : (a) a selection


Find the number of ways in which : (b) an arrangement, of four letters can be made from the letters of the word 'PROPORTION'.


How many words can be formed by taking 4 letters at a time from the letters of the word 'MORADABAD'?


Find the number of combinations and permutations of 4 letters taken from the word 'EXAMINATION'.


If 15C3r = 15Cr + 3 , then r is equal to


Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to


There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is


The value of `(""^9"C"_0 + ""^9"C"_1) + (""^9"C"_1 + ""^9"C"_2) + ... + (""^9"C"_8 + ""^9"C"_9)` is ______ 


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.


If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, in how many points will they intersect each other?


In how many ways can a football team of 11 players be selected from 16 players? How many of them will include 2 particular players?


The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.


There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsmen and 2 are wicketkeepers. The number of ways, a team of 11 players be selected from them so as to include at least 4 bowlers, 5 batsmen and 1 wicketkeeper, is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×