`1+1.^6P_1+2.^6P_2+....+6.^6P_6`=

1+1.^(6)P_(1)+2*^(6)P_(2)+....+6.^(6)P_(6)=

If .^(6)P_(r): .^(6)P_(5) = 1:2 , find the value of r.

If .^(6)P_(r): .^(6)P_(5) = 1:2 , find the value of r.

Find r if (i) ""^5P_r=2^6P_(r-1) (ii) ""^5P_r=^6P_(r-1)

Find r if (i) .^(5)P_(r) = 2 .^(6)P_(r-1) (ii) .^(5)P_(r) =^(6)P_(r-1) .

Find r if (i) ^5P_r=2""""^6P_(r-1) (ii) ^5P_r=^6P_(r-1)

The probability function of the binomial distribution is P(x)= ((6), (x))p^(x)q^(6-x), x= 0, 1, 2, ....., 6. If 2P(2) = 3P(3) then value of q is ……….

Find r if .^(5)P_(r )=2 .^(6)P_(r-1)

Find r if "^5P_r =2 "^6P_(r-1) .

If (1+x+x^(2)+....+x^(p))^(6)=a_(o)+a_(1)x+a_(2)x^(2)+.......+a_(6p)X^(6p) ,then the value of : (1)/(p(p+1)^(6))[a+2a_(2)+3a_(3)+...+6pa_(6p)] is