(Q). In how many ways 5 students from a group of 10 students be selected if Ankit & Rahul are not selected together?Solution:- number of ways to select 5 student from a group of 10 students without any restriction = ¹⁰C₅ ways& when both Ankit & Rahul are...
(Q). There are 10 singers who is ready to perform in a show that is scheduled for two timings, before lunch & after lunch. If before lunch maximum 6 singers can perform while after lunch maximum 5 singers can perform then in how many different way program can be...
(Q). (i). Find the total number of factors of 54000(ii). Sum of all factors of 54000(iii). Sum of all factors of 54000 that ends with 5.Solution:-5400 = 2⁴ × 3³ × 5³ (i). ∴ total number of factors = (4 + 1)(3 + 1)(3 + 1)= 80 Answer (ii)Sum of all the factors = ...
(Q). How many factors of N = 2⁷ × 3⁷ × 5⁷ × 7⁷ ends with two zeros ? Solution:- In every factor 2² × 5² will be common∴ required number of factor is same as the number of factors of 2⁵ × 3⁷ × 5⁵ × 7⁷= 6×8×6×8= 2304 ...
(Q). In the annual function of a school every student gave a gift to every other student. If total number of gift distributed is 380 then(i). How many students were present in the function?(ii). How many gifts received by a particular student Amit ?Solution:-Let there...
(Q). A committee of 5 men & 5 women is to be selected from 9 men & 10 women. (i). In how many ways this can be done (ii). In how many ways this can be done if a particular woman is always selected (iii). In how many ways this can be done if a particular woman...
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