let t n denote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n} then t 20 -t 10 = pls explain with stepwise solution

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Y RAJYALAKSHMI · Answer

Let the sides of triangle be a, b, c so that b + c > a Take a = 20. Since a, b, c are distinct - If b = 19, c can take values from 2 to 18 = 17 distinct no. of values if b = 18, c can take values from 3 to 17 = 15 values simillarily when b = 17 c can take 13 values b = 16, c can take 11 values b = 15, c takes 9 values b = 14, c takes 7 values b = 13, c take 5 values b = 12, c takes 3 values b = 11, c takes 1 value b can take only values up to 11, since from 10, these values get repeated Summing up these values, we get t 20 = 81 Take a = 10. If b = 9, c can take values from 2 to 8 = 7 values b = 8, c can take values from 3 to 7 = 5 values b = 7 c can take 3 values b = 6, c can take 1 value b can take only values up to 6, since from 5, these values get repeated Summing up these values, we get t 10 = 16 So, t 20 – t 10 = 81 – 16 = 65

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let t n denote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n} then t 20 -t 10 = pls explain with stepwise solution

let t_ndenote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n}
then t₂₀-t₁₀=

pls explain with stepwise solution

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let t n denote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n} then t 20 -t 10 = pls explain with stepwise solution

let tn denote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n}then t20-t10= pls explain with stepwise solution

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let t_ndenote the number of the integral sided traingles with distinct sides chosen from {1,2,3,4......n}
then t₂₀-t₁₀=

pls explain with stepwise solution