1. In how many ways 30 identical chocolates be distributed among 5 students ? 2. In how many ways 30 students can be send to 5 class rooms ? 3. In how many ways 20 different article can be distributed equally among 4 persons ? 4. In how many ways 30 identical...
(Q). Consider 5 points in a plane are situated so that no two of the straight lines joining them are parallel, perpendicular, or co-incident. From each point perpendiculars are drawn to all the lines joining the other four points. Determine the maximum number of...
(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...
⦿ When clockwise ↻ & anticlockwise ↺ arrangement are same: Formation of Garland we are to arrange n beads in a circle to form a garland.Here if we look at garland clockwise ↻ or anticlockwise ↺ both look will be same. i .e. ↻ & ↺ arrangement are not...
(Q). If k! is not divisible by 1155 then find the maximum value of k (i) 11(ii) 17(iii) 10(iv) 7 Solution:- Since 1155 = 3×5×7×11if we take k as 11 or above then k! will be completely divisible by 1155...
(Q). If p = x¹⁰⁰⁰(1000!) & p is divisible by 10¹⁰⁰⁰. then what would be the minimum number of zeros at the end of p. Solution:- first find number of trailing zeros in...
(Q). If p = (x{!^{y{!^{z!}}}}) & p is a single digit number then find the possible value of p.Solution:- ➠ if x = 0 or 1 ⇒ x! = 1 then y & z can take any value & value of p will be = 1. ➠ if x = 2 ⇒ x! = 2if y = 0 or 1 ⇒ y! = 1 then z can take any value...
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