by shivamtripathi22 | Mar 24, 2022 | Uncategorized
(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...
by shivamtripathi22 | Mar 24, 2022 | Uncategorized
(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...
by shivamtripathi22 | Mar 24, 2022 | Uncategorized
(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:-...
by shivamtripathi22 | Mar 24, 2022 | Uncategorized
(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...
by shivamtripathi22 | Mar 24, 2022 | Uncategorized
(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...
