# 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 5 seniors and 5 juniors? 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 5 seniors and 5 juniors? Correct Answer: C. ¹²C₇ * ¹⁰C₅. 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 5 seniors and 5 juniors?

Direct Answer & Quick Reference

The correct option is **C. ¹²C₇ * ¹⁰C₅**.

A. ¹²C₅ * 10

B. ¹²C₇ * 10

C. ¹²C₇ * ¹⁰C₅ **(Correct Answer)**

D. 12 * ¹⁰C₅

✨ Explain with AI

Verified Key: C. ¹²C₇ * ¹⁰C₅
Solved by 2,751+ students

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

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*Source: https://test-prep.blog/mcq/a-group-of-10-representatives-is-to-be-selected-out-of-12-seniors-and-10-juniors-22c5d91c-6119-4d51-a143-a206cd191f99*
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