- Home
- Standard 11
- Mathematics
7.Binomial Theorem
medium
${({5^{1/2}} + {7^{1/6}})^{642}}$ ના વિસ્તરણમાં પૂર્ણાક પદની સંખ્યા મેળવો.
A
$106$
B
$108$
C
$103$
D
$109$
Solution
(b) ${T_{r + 1}}{ = ^{642}}{C_r}{({5^{1/2}})^{642 – r}}.\,{({7^{1/6}})^r}$
Obviously, $r$ should be a multiple of $6.$
Total numbers = $\frac{{642}}{6} = 107$; But first term for $r = 0$ is also integral. Hence total terms are $107 + 1 = 108$.
Standard 11
Mathematics
