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If 1P2 + 2.2P2+3.3P3+ .....+ 15.15P15 = qPr- s,0≤ s≤ 1, then q+sCr-s is equal to ________.

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+1 vote
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in Mathematics by (38.6k points)
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If 1P2 + 2.2P2+3.3P3+ .....+ 15.15P15 = qPr- s,0≤ s≤ 1, then q+sCr-s is equal to ________.

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1 Answer

+1 vote
by (33.6k points)

1P2 + 2.2P2+3.3P3+ .....+ 15.15P15

q+sCr-s = 17C15 = 136

by (10 points)
Can someone explain me 3rd step
by (10 points)
Just add and subtract 1 in the general term of r(r!) and then group it (r+1)r!-r!
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