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Prove that .^nPr = ^(n-1)Pr + r^(n-1)P(r...

Prove that `.^nP_r = ^(n-1)P_r + r^(n-1)P_(r-1)`

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Prove that .^(n)P_(r)=.^(n-1)P_(r)+r.^(n-1)P_(r-1) .

.^(n-1)C_(r)+^(n-1)C_(r-1)=

show that ^nC_r+ ^(n-1)C_(r-1)+ ^(n-1)C_(r-2)= ^(n+1)C_r

Prove that "^n C_r+^(n-1)C_r+...+^r C_r=^(n+1)C_(r+1) .

Prove that .^(n)C_(0) - .^(n)C_(1) + .^(n)C_(2) - .^(n)C_(3) + "……" + (-1)^(r) .^(n)C_(r) + "……" = (-1)^(r ) xx .^(n-1)C_(r ) .

Show that .^(n)C_(r)+.^(n-1)C_(r-1)+.^(n-1)C_(r-2)=.^(n+1)C_(r) .

The result of ^(n-1)C_r+^(n-1)C_(r-1)=

Show that , .^(n)P_(r)=n.^(n-1)P_(r-1)=(n-r+1).^(n)P_(r-1) .

Show that , .^(n)C_(r)=(n-r+1)/(r).^(n)C_(r-1) .

The roots of the equation |^x C_r^(n-1)C_r^(n-1)C_(r-1)^(x+1)C_r^n C_r^n C_(r-1)^(x+2)C_r^(n+1)C_r^(n+1)C_(r-1)|=0 are a) x=n b) x=n+1 c) x=n-1 d) x=n-2

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
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  2. There are three stations A, B and C . If five routes for going from st...

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  3. Prove that .^nPr = ^(n-1)Pr + r^(n-1)P(r-1)

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  7. Find the number of permutations that can be had from the letters of th...

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  8. Find the number of permutations that can be had from the letters of th...

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  9. Find the number of permutations that can be had from the letters of th...

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