# A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? with Answer - Maths Mcqs | TestPrep

> Solved MCQ: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? Correct Answer: D. ²²C₁₀ – 1. Verified answer explanation for FPSC, PPSC, MDCAT, NTS, and CSS competitive exam preparation.

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# A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?

Direct Answer & Quick Reference

The correct option is **D. ²²C₁₀ – 1**.

A. ²²C₁₀

B. ²²C₁₀ + 1

C. ²²C₉ + ¹⁰C₁

D. ²²C₁₀ – 1 **(Correct Answer)**

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Verified Key: D. ²²C₁₀ – 1
Solved by 2,441+ students

Verified against official examination board answer keys and standard curriculum textbooks.

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