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Permutation and CombinationQuestion and Answers: Page 17 |
To the member in forum. please give an opinion on this matter. George , Lucia and 12 of their friends will sit around a round table. Many of their arrangements sit if George and Lucia always flank 5 of their friends? |
coefficient x^6 from expressi (2x+1)^(6 ) × (x^2 +x+(1/4))^4 ? |
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how do 16 people play 3 matches in teams of 4 but must only be in the same team once ? |
what the minimum value of f(x)=(√(x^2 +2x+5)) +(√(x^2 −14x+65)) |
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many three digit multiples of three that can be made from the number 0,1,2,3,4,5,6,7 without repetition? |
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Interview indicates that all the 4 maths students,5 physics and 7 chemistry students who applied for a scholarship in their respective disciplines qualified for an award. In how many ways the aeard can be made if; (i)only one scholarship is available in each of the disciplines (ii)only two scholarships are availablr in each of the disciplines. |
There are 6 girls and four boys in a class. 3 students are choosen at random so as to be awarded a scholaship.In how many ways can this be done if atlease 1 boy and 1 girl must in the selection |
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find coefficient of x^(r ) in the expension of (2x−6y)^(−8) |
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find the coefficient a_k of term x^k in Π_(r=1) ^n (1+x^r ) with 0≤k≤((n(n+1))/2) example: n=100, k=50 |
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please utilise cette fonction to show that N∗N is denombrable f:N⊛N→N (x,y)∣→(((x+y)(x+y+1))/2)+y montrer que f est bijective Please help |
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((n^2 !)/((n!)^n ))=natural number. |
show that ^n c_(r+1) +^n c_(r ) =^(n+1) c_(r+1) |
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Σ_(r=0) ^n ^n C_r ((1+r log_e 10)/((1+ log_e 10^n )^r ))=... |