(Q). 8 students has to be selected such that 4 students from science group & 4 students from Arts group. Number of participants in different group is as follows:-Science group:- Total 9 students – 5boys and 4 girlsArt group:- Total 9 students – 4 boys...
(Q). How many teams of 9 players an be made from 30 players if Ankit, Mohit and Neeraj can not be selected together?Solution:-Without any restriction 9 players an be selected from 30 players in ³⁰C₉ ways & when Ankit, Mohit & Neeraj are always selected then 9...
(Q). A class has total 10 students: 6 boys and 4 girls, in how many ways we can select a team of 5 so that number of boy is always more than the number of...
(Q). A team of 11 players has to be selected from 20 players which has 5 bowlers. IN how many ways this can be done if at least 4 bowlers are always...
(Q). A fruit basket has ‘k’ different types of fruit and each type has ‘n’ number of fruits. In how many ways at least 1 fruit can be selected from the fruit basket?Solution:-0 or more fruits can be selected from type 1 in (n+1) ways0 or more...
(Q). How many natural numbers less than 1000 will have exactly 3 factors?Solution:-Only square of a prime number has three factors, So the number are:2², 3², 5², 7², 11², 13², 17², 19², 23², 29², 31² above numbers are less than 1000 & each one has 3 factorsHence...
(Q). How many 2 digit numbers exist whose number of factors is 8?Solution:- If N = aᵖbᑫcʳ…..then number of factors = (p+1)(q+1)(r+1)………we are given that number of factors = 8∴ (p+1)(q+1)(r+1)……. = 8we have following cases:-...
(Q). In how many ways can a mixed double game in Tennis be arranged from 20 married couples, if no husband and wife play in the same game.Solution:-2 men can be selected in ²⁰C₂...
(Q). In how many ways two numbers can be selected from 100, 101, 102, ……… 199 such that when these selected numbers are multiplied then the product is divisible by 3?Solution:- Numbers divisible by 3...
(Q). Out of 8 men and 4 women a committee of 5 is to be formed. In how many ways this can be done:(i). So as to include at least 1 woman in the committee(ii). So as to include at least 1 woman in the comittee & exclude at least 1 man from the...
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