From a class of 25 students,10 are to be chos | vedclass

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Question

(A) Total students = $25$. Students to be chosen = $10$.Case $I$: All $3$ specific students join the party.We need to choose the remaining $10 - 3 = 7

Vedclass · Accepted Answer

$^{22}C_{7} + ^{22}C_{10}$

Vedclass · Answer

(A) Total students = $25$. Students to be chosen = $10$.Case $I$: All $3$ specific students join the party.We need to choose the remaining $10 - 3 = 7$ students from the remaining $25 - 3 = 22$ students.Number of ways = $^{22}C_{7}$.Case $II$: None of the $3$ specific students join the party.We need to choose all $10$ students from the remaining $25 - 3 = 22$ students.Number of ways = $^{22}C_{10}$.Total number of ways = $^{22}C_{7} + ^{22}C_{10}$.

From a class of $25$ students,$10$ are to be chosen for an excursion party. There are $3$ students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?

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