(Q). If r, s, t are prime numbers & p, q are positive integers such that the LCM of p, q is r²t²s⁴, then the number of ordered pair (p,q) is?Solution:-Since r, s, t are prime numbers.∴ selection of p & q will be done in following...
(Q). In how many ways 5 numbers can be selected from {1, 2, 3, 4, 5, 6, ………. n} such that not all the five numbers are consecutive?Solution:-Required number of ways= number of ways of selecting 5 out of n students – number of ways of selecting...
(Q). 15 singers were selected to perform in a party, but at a time only 5 singers can perform, then how many times a particular singer performed if no same group of 5 singers performed twice?Solution:- Since a particular singer is always selected then number of ways...
(Q). 15 singers were selected to perform in a party, but at a time only 5 singers can perform, then total how many times performance was done if no same group of 5 singers performed twice?Solution:- Number of singers = 15Number of singers selected at a time = 5&...
(Q). What is the total number of ways of selecting fruits with at least 1 mango from 5 distinct mangoes & 4 distinct oranges?Solution:- Number of ways of selecting orange = 2⁴ = 16∴ total number of ways = 31×16 ...
(Q). In how many ways a team of 11 players can be selected from 18 players if out of 18 players, 2 player can play only as wicket keeper?Solution:- From 2 wicket keepers only 1 is selected & this can be done in ²C₁ ways.And remaining 10 players can be selected...
(Q). If a bus conductor has 435 different tickets then findd the number of stoppage that the bus has, consider only one way journey.Solution:- if the bus has ‘n’ number of stoppage then to have a ticket we have to select 2 stoppages out of n and that can...
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