Quantitative Reasoning

Permutation & Combination

Easy

A team of 3 tennis players is to be finalized from a group of 2 male and 3 female. In how many ways this can be done and how many teams which consist of 1 male and 2 female?

10 and 6

12 and 8

16 and 10

20 and 12

✅ Correct Option: 1

Total teams of 3 from 5 people $= \binom{5}{3} = 10$ .

Teams with exactly 1 male and 2 females $= \binom{2}{1} \times \binom{3}{2} = 2 \times 3 = 6$ .

So the answer is 10 and 6.

2026: 22 May Shift 2

In how many different ways can the letters of the word PRESENT be arranged?

2023: 19 June Shift 1

How many 3-digit even numbers can be formed by using the digits 1 to 9 if no digit is repeated ?

2025: 16 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

2026: 20 May Shift 2

How many 5-digit numbers can be formed by using digits 1, 2, 3, 4, 5 if 2 and 3 cannot come together?

2025: 24 May Shift 2

In a plane, there are 9 points, out of which 4 are collinear. The number of triangles made by these points is:

2025: 21 May Shift 1

In how many ways are the letters of the word DOCUMENT arranged so that all the vowels always come together?

Solution