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Problems based on n C r and n P r...

Problems based on n C r and n P r

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n C r and n P r contd.

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In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

Let P (n) be the statement C_(r) le n! for 1 le r le n then P(n + 1) = ________

If ""^(n)P_r = ""^(n)P_(r+1) and ""^(n)C_r = ""^(n)C_(r-1) ,then the values of n and r are

Maximising n C r || Geometrical problems|| Chessboard Problem||Divisibility Problems

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)