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It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10 .
Question type: Mathematical calculation
Solution:
C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+15360+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+15360+11520+10*512+1*1024
=20+180+960+3360+8064+13440+15360+11520+5120+1*1024
=20+180+960+3360+8064+13440+15360+11520+5120+1024
=200+960+3360+8064+13440+15360+11520+5120+1024
=1160+3360+8064+13440+15360+11520+5120+1024
=4520+8064+13440+15360+11520+5120+1024
=12584+13440+15360+11520+5120+1024
=26024+15360+11520+5120+1024
=41384+11520+5120+1024
=52904+5120+1024
=58024+1024
=59048
Answer:C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10=59048
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10 .
Question type: Mathematical calculation
Solution:
C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+C(10,1)*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+C(10,0)*2^10
=10*2^1+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*2^2+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*2^3+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*2^4+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*2^5+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*2^6+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*2^7+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*2^8+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*2^9+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*2^10
=10*2+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+45*4+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+120*8+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+210*16+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+252*32+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+210*64+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+120*128+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+15360+45*256+10*512+1*1024
=20+180+960+3360+8064+13440+15360+11520+10*512+1*1024
=20+180+960+3360+8064+13440+15360+11520+5120+1*1024
=20+180+960+3360+8064+13440+15360+11520+5120+1024
=200+960+3360+8064+13440+15360+11520+5120+1024
=1160+3360+8064+13440+15360+11520+5120+1024
=4520+8064+13440+15360+11520+5120+1024
=12584+13440+15360+11520+5120+1024
=26024+15360+11520+5120+1024
=41384+11520+5120+1024
=52904+5120+1024
=58024+1024
=59048
Answer:C(10,9)*2^1+C(10,8)*2^2+C(10,7)*2^3+C(10,6)*2^4+C(10,5)*2^5+C(10,4)*2^6+C(10,3)*2^7+C(10,2)*2^8+C(10,1)*2^9+C(10,0)*2^10=59048