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Consider a set s = {1, 2, 3, ………., 200}, two elements p and q are selected from this set s such that 7ᵖ + 7ᑫ is divisible by 5. In how many ways this selection can be done

by shivamtripathi22 | Mar 27, 2022 | Uncategorized

(Q). Consider a set s = {1, 2, 3, ………., 200}, two elements p and q are selected from this set s such that 7ᵖ + 7ᑫ is divisible by 5. In how many ways this selection can be done?Solution:-For a number to be divisible by 5, its last digit i.e. unit...

In the previous question to vote for 1 candidate a voter needs 1 ballot paper then which one of the following could be the total number of ballot paper:
(i). 4401
(ii). 4402
(iii). 4403
(iv). 4405

by shivamtripathi22 | Mar 27, 2022 | Uncategorized

(Q). In the previous question to vote for 1 candidate a voter needs 1 ballot paper then which one of the following could be the total number of ballot paper:(i). 4401(ii). 4402(iii). 4403(iv). 4405Solution:-From the answer of previous question a particular voter can...

In an election number of contestants is one more than the number of seats. If a voter can give minimum 1 and maximum equal to the number of seats vote then in how many different ways a particular voter can vote?

by shivamtripathi22 | Mar 26, 2022 | Uncategorized

(Q). In an election number of contestants is one more than the number of seats. If a voter can give minimum 1 and maximum equal to the number of seats vote then in how many different ways a particular voter can vote?(i) 2044(ii)2045(iii) 2046(iv) none of...

A class has 30 students out of which 23 are boys & 7 are girls. In how many ways 15 students can be selected if 5 seats are reserved for girls student

by shivamtripathi22 | Mar 26, 2022 | Uncategorized

(Q). A class has 30 students out of which 23 are boys & 7 are girls. In how many ways 15 students can be selected if 5 seats are reserved for girls student? Solution:- 5G×10B + 6G×9B + 7G×8B = ⁷C₅×²³C₁₀ + ⁷C₆×²³C₉ + ⁷C₇×²³C₈ ...

In the previous question if a prticular student Amit came with Rohit but not with shyamu then find the number of ways to select 4 students out of 10 students

by shivamtripathi22 | Mar 26, 2022 | Uncategorized

(Q). In the previous question if a prticular student Amit came with Rohit but not with shyamu then find the number of ways to select 4 students out of 10 students.Solution:-Number of ways = ¹⁰⁻²⁻¹C₄₋₂ = ⁷C₂ ...