A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?

Question

Satt Academy · Accepted Answer

Committee members will be 3

Available men = 7 & Available women = 5

So, the combinations can be

i)7c3×5c0= 35×1=35i) 7c3 ii)7c2×5c1=21×5=105 iii) 7c1×5c2=7 × 10=70 iv)7c0×5c3=1×10=10

So, total combinations = 35 + 105 + 70 + 10 = 220 ways. ans.

$i) 7 c_{3} \times 5 c_{0} = 35 \times 1 = 35$ i) 7c₃	$i i) 7 c_{2} \times 5 c_{1} = 21 \times 5 = 105$
$i i i) 7 c_{1} \times 5 c_{2} = 7 \times 10 = 70$	$i v) 7 c_{0} \times 5 c_{3} = 1 \times 10 = 10$

A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?
(Permutation & Combination)

Question:
A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?
(Permutation & Combination)

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Hi, আমি SATT AI!

A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed? (Permutation & Combination)

Question: A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed? (Permutation & Combination)

গণিত

Related Question

1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

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Hi, আমি SATT AI!

A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?
(Permutation & Combination)

Question:
A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?
(Permutation & Combination)